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	2400a	Isogeny class
Conductor	2400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-25920000000 = -1 · 212 · 34 · 57	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,367,7137]	[a1,a2,a3,a4,a6]
Generators	[7:100:1]	Generators of the group modulo torsion
j	85184/405	j-invariant
L	2.7207394653278	L(r)(E,1)/r!
Ω	0.85462869347328	Real period
R	0.79588348896596	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	2400ba4 4800q1 7200bf4 480g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2400a4

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	0	-2	-6	4	8	-2	-4	-10	2	-4	8	2	-8	-2	-12	-8	14	12	-4	-14	-2

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Quadratic twists for elliptic curve 2400a4

-4	8	-3	5	-7
2400ba4	4800q1	7200bf4	480g4	117600co2

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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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