Cremona's table of elliptic curves

15480 = 2³ · 3² · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 43-	Signs for the Atkin-Lehner involutions
Class	15480d	Isogeny class
Conductor	15480	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	48525156000000 = 28 · 38 · 56 · 432	Discriminant
Eigenvalues	2+ 3- 5+  0  0 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48423,-4087622]	[a1,a2,a3,a4,a6]
Generators	[78692:2711709:64]	Generators of the group modulo torsion
j	67283921459536/260015625	j-invariant
L	4.5106759536691	L(r)(E,1)/r!
Ω	0.32191230481202	Real period
R	7.0060632759954	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	30960c2 123840ck2 5160n2 77400ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15480d2

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

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Quadratic twists for elliptic curve 15480d2

-4	8	-3	5
30960c2	123840ck2	5160n2	77400ba2

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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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