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	2464j	Isogeny class
Conductor	2464	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-1583855415296 = -1 · 212 · 74 · 115	Discriminant
Eigenvalues	2-  1  1 7+ 11- -2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-32285,2222891]	[a1,a2,a3,a4,a6]
Generators	[209:2156:1]	Generators of the group modulo torsion
j	-908614343190016/386683451	j-invariant
L	3.710059432386	L(r)(E,1)/r!
Ω	0.83155615432019	Real period
R	0.22307930818088	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	2464e1 4928c1 22176a1 61600o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2464j1

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	1	+	-	-2	0	-6	1	0	-7	-5	6	-2	4	10	-13	4	-9	-9	-14	6	2	-1	-7

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Quadratic twists for elliptic curve 2464j1

-4	8	-3	5	-7	-11
2464e1	4928c1	22176a1	61600o1	17248bd1	27104g1

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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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