Cremona's table of elliptic curves

2464 = 2⁵ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	2464a	Isogeny class
Conductor	2464	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-108179456 = -1 · 212 · 74 · 11	Discriminant
Eigenvalues	2+ -1 -3 7+ 11+  6  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-77,-539]	[a1,a2,a3,a4,a6]
Generators	[35:196:1]	Generators of the group modulo torsion
j	-12487168/26411	j-invariant
L	2.1745037971161	L(r)(E,1)/r!
Ω	0.75475865630816	Real period
R	0.72026461006506	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	2464h1 4928x1 22176q1 61600bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2464a1

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	+	+	6	0	6	3	0	3	-1	-10	2	-12	-6	-11	4	-7	13	-14	2	14	-17	-15

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Quadratic twists for elliptic curve 2464a1

-4	8	-3	5	-7	-11
2464h1	4928x1	22176q1	61600bl1	17248j1	27104u1

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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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