Cremona's table of elliptic curves

2400 = 2⁵ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5-	Signs for the Atkin-Lehner involutions
Class	2400y	Isogeny class
Conductor	2400	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-24000 = -1 · 26 · 3 · 53	Discriminant
Eigenvalues	2- 3+ 5- -2 -6  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,2,-8]	[a1,a2,a3,a4,a6]
Generators	[3:4:1]	Generators of the group modulo torsion
j	64/3	j-invariant
L	2.5532487578809	L(r)(E,1)/r!
Ω	1.8158357428475	Real period
R	1.406101167431	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	2400bf1 4800cm1 7200w1 2400o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2400y1

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	-6	2	6	4	8	0	-8	-2	-6	-4	4	-6	-6	-6	0	-4	-12	-8	-12	14	-8

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Quadratic twists for elliptic curve 2400y1

-4	8	-3	5	-7
2400bf1	4800cm1	7200w1	2400o1	117600ig1

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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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