Cremona's table of elliptic curves

2632 = 2³ · 7 · 47

Field	Data	Notes
Atkin-Lehner	2+ 7+ 47+	Signs for the Atkin-Lehner involutions
Class	2632a	Isogeny class
Conductor	2632	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	221677568 = 211 · 72 · 472	Discriminant
Eigenvalues	2+  2  2 7+ -6 -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-152,-52]	[a1,a2,a3,a4,a6]
Generators	[-22:147:8]	Generators of the group modulo torsion
j	190887986/108241	j-invariant
L	4.4001760654952	L(r)(E,1)/r!
Ω	1.4666566937164	Real period
R	3.0001404448272	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5264d2 21056c2 23688s2 65800j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2632a2

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	+	-6	-6	-2	0	-4	-4	8	6	-6	-2	+	-6	10	-8	14	8	-6	-8	6	-6	14

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Quadratic twists for elliptic curve 2632a2

-4	8	-3	5	-7	-47
5264d2	21056c2	23688s2	65800j2	18424c2	123704a2

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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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