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	15480k	Isogeny class
Conductor	15480	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-14557546800 = -1 · 24 · 39 · 52 · 432	Discriminant
Eigenvalues	2- 3+ 5-  0 -2  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-162,-5859]	[a1,a2,a3,a4,a6]
Generators	[22:35:1]	Generators of the group modulo torsion
j	-1492992/46225	j-invariant
L	5.2276230801926	L(r)(E,1)/r!
Ω	0.54338954737901	Real period
R	2.405099208021	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	30960b1 123840g1 15480a1 77400b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15480k1

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

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Quadratic twists for elliptic curve 15480k1

-4	8	-3	5
30960b1	123840g1	15480a1	77400b1

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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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