Cremona's table of elliptic curves

9632 = 2⁵ · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 7- 43+	Signs for the Atkin-Lehner involutions
Class	9632h	Isogeny class
Conductor	9632	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-40589248 = -1 · 26 · 73 · 432	Discriminant
Eigenvalues	2-  2 -2 7- -4  4  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,86,0]	[a1,a2,a3,a4,a6]
Generators	[18:84:1]	Generators of the group modulo torsion
j	1086373952/634207	j-invariant
L	5.5483087337434	L(r)(E,1)/r!
Ω	1.2331378465173	Real period
R	1.4997806204751	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	9632c1 19264o1 86688t1 67424o1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9632h1

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	-	-4	4	2	2	-4	6	-10	-6	10	+	6	6	-4	-2	-4	8	0	4	-16	-12	-10

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Quadratic twists for elliptic curve 9632h1

-4	8	-3	-7
9632c1	19264o1	86688t1	67424o1

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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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