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	2464i	Isogeny class
Conductor	2464	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-6559168 = -1 · 26 · 7 · 114	Discriminant
Eigenvalues	2+ -2  0 7- 11-  0 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-78,-320]	[a1,a2,a3,a4,a6]
Generators	[21:88:1]	Generators of the group modulo torsion
j	-830584000/102487	j-invariant
L	2.3594138182852	L(r)(E,1)/r!
Ω	0.79687981870103	Real period
R	1.4804075614132	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	2464b1 4928be1 22176s1 61600bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2464i1

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	0	-	-	0	-6	6	0	-6	0	2	2	4	0	6	2	4	-8	-16	-2	-8	-2	-14	6

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Quadratic twists for elliptic curve 2464i1

-4	8	-3	5	-7	-11
2464b1	4928be1	22176s1	61600bi1	17248t1	27104p1

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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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