Cremona's table of elliptic curves

2937 = 3 · 11 · 89

Field	Data	Notes
Atkin-Lehner	3+ 11- 89+	Signs for the Atkin-Lehner involutions
Class	2937a	Isogeny class
Conductor	2937	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4824	Modular degree for the optimal curve
Δ	-2303133723 = -1 · 33 · 112 · 893	Discriminant
Eigenvalues	-2 3+ -2 -2 11-  4  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-6194,-185596]	[a1,a2,a3,a4,a6]
j	-26284966548631552/2303133723	j-invariant
L	0.53814415618108	L(r)(E,1)/r!
Ω	0.26907207809054	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	46992j1 8811d1 73425m1 32307b1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 2937a1

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	+	-2	-2	-	4	4	6	5	9	-8	-6	-5	0	2	0	11	6	-1	-12	-5	5	3	+	-13

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Quadratic twists for elliptic curve 2937a1

-4	-3	5	-11
46992j1	8811d1	73425m1	32307b1

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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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