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	4	Product of Tamagawa factors cp
Δ	-15000000000 = -1 · 29 · 3 · 510	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,592,-1812]	[a1,a2,a3,a4,a6]
Generators	[147:1812:1]	Generators of the group modulo torsion
j	2863288/1875	j-invariant
L	3.6059359293963	L(r)(E,1)/r!
Ω	0.7110077485965	Real period
R	5.0715845734653	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	2400r4 4800bh4 7200g4 480a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2400bb4

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 2400bb4

-4	8	-3	5	-7
2400r4	4800bh4	7200g4	480a4	117600ff2

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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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