Cremona's table of elliptic curves

2156 = 2² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 7- 11+	Signs for the Atkin-Lehner involutions
Class	2156a	Isogeny class
Conductor	2156	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-40087249664 = -1 · 28 · 76 · 113	Discriminant
Eigenvalues	2- -1  3 7- 11+  4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3789,91561]	[a1,a2,a3,a4,a6]
Generators	[40:49:1]	Generators of the group modulo torsion
j	-199794688/1331	j-invariant
L	3.0098174447311	L(r)(E,1)/r!
Ω	1.154329852607	Real period
R	1.3037077044892	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8624ba2 34496bj2 19404bd2 53900j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2156a2

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
-	-1	3	-	+	4	-6	-8	-3	0	-5	-1	0	-10	0	-6	-3	4	-1	15	4	2	-6	9	7

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Quadratic twists for elliptic curve 2156a2

-4	8	-3	5	-7	-11
8624ba2	34496bj2	19404bd2	53900j2	44a2	23716g2

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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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