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	2400bb	Isogeny class
Conductor	2400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	3240000000 = 29 · 34 · 57	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1408,19688]	[a1,a2,a3,a4,a6]
Generators	[-37:150:1]	Generators of the group modulo torsion
j	38614472/405	j-invariant
L	3.6059359293963	L(r)(E,1)/r!
Ω	1.422015497193	Real period
R	1.2678961433663	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2400r2 4800bh3 7200g2 480a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2400bb3

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

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Quadratic twists for elliptic curve 2400bb3

-4	8	-3	5	-7
2400r2	4800bh3	7200g2	480a3	117600ff3

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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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