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	-8019 = -1 · 36 · 11	Discriminant
Eigenvalues	2 3- -1 -2 11+  4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-70383,7187035]	[a1,a2,a3,a4,a6]
j	-52893159101157376/11	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	1584p3 6336y3 11a2 2475h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 99d3

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 99d3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1584p3	6336y3	11a2	2475h3	4851l3	1089j3	16731m3	28611w3	35739r3	52371f3	83259m3	95139k3

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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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