Cremona's table of elliptic curves

11 = Prime conductor

Field	Data	Notes
Atkin-Lehner	11-	Signs for the Atkin-Lehner involutions
Class	11a	Isogeny class
Conductor	11	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-11 = Prime discriminant	Discriminant
Eigenvalues	-2 -1  1 -2 11-  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,0,0]	[a1,a2,a3,a4,a6]
j	-4096/11	j-invariant
L	0.25384186085591	L(r)(E,1)/r!
Ω	6.3460465213978	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	176b1 704a1 99d1 275b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11a3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-2	-1	1	-2	-	4	-2	0	-1	0	7	3	-8	-6	8	-6	5	12	-7	-3	4	-10	-6	15	-7

---

Quadratic twists for elliptic curve 11a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79	-83	89	97	101	-103	-107
176b1	704a1	99d1	275b1	539d1	121d1	1859a1	3179c1	3971b1	5819a1	9251a1	10571a1	15059e1	18491a1	20339f1	24299c1	30899c1	38291c1	40931a1	49379b1	55451b1	58619b1	68651e1	75779e1	87131c1	103499a1	112211c1	116699a1	125939a1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations