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	6	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-331299584 = -1 · 28 · 76 · 11	Discriminant
Eigenvalues	2- -1  3 7- 11+  4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,131,617]	[a1,a2,a3,a4,a6]
Generators	[19:98:1]	Generators of the group modulo torsion
j	8192/11	j-invariant
L	3.0098174447311	L(r)(E,1)/r!
Ω	1.154329852607	Real period
R	0.43456923482973	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	8624ba1 34496bj1 19404bd1 53900j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2156a1

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 2156a1

-4	8	-3	5	-7	-11
8624ba1	34496bj1	19404bd1	53900j1	44a1	23716g1

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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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