Cremona's table of elliptic curves

99 = 3² · 11

Field	Data	Notes
Atkin-Lehner	3- 11+	Signs for the Atkin-Lehner involutions
Class	99d	Isogeny class
Conductor	99	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-117406179 = -1 · 36 · 115	Discriminant
Eigenvalues	2 3- -1 -2 11+  4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-93,625]	[a1,a2,a3,a4,a6]
j	-122023936/161051	j-invariant
L	1.6844963329755	L(r)(E,1)/r!
Ω	1.6844963329755	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1584p2 6336y2 11a1 2475h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 99d2

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	-2	+	4	2	0	1	0	7	3	8	-6	-8	6	-5	12	-7	3	4	-10	6	-15	-7

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Quadratic twists for elliptic curve 99d2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1584p2	6336y2	11a1	2475h2	4851l2	1089j2	16731m2	28611w2	35739r2	52371f2	83259m2	95139k2

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

Part of Computational Number Theory
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