Cremona's table of elliptic curves

5460 = 2² · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	5460f	Isogeny class
Conductor	5460	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-68992560 = -1 · 24 · 36 · 5 · 7 · 132	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-105,-612]	[a1,a2,a3,a4,a6]
j	-8077950976/4312035	j-invariant
L	2.1808567819039	L(r)(E,1)/r!
Ω	0.72695226063462	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840bo1 87360k1 16380c1 27300f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5460f1

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

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Quadratic twists for elliptic curve 5460f1

-4	8	-3	5	-7	13
21840bo1	87360k1	16380c1	27300f1	38220f1	70980u1

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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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