Cremona's table of elliptic curves

12480 = 2⁶ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	12480cb	Isogeny class
Conductor	12480	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-14038302720 = -1 · 215 · 3 · 5 · 134	Discriminant
Eigenvalues	2- 3+ 5-  0  4 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,415,4545]	[a1,a2,a3,a4,a6]
Generators	[7:88:1]	Generators of the group modulo torsion
j	240641848/428415	j-invariant
L	4.6685073812394	L(r)(E,1)/r!
Ω	0.85995635432301	Real period
R	2.714386234703	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	12480cv4 6240m4 37440dv3 62400gz3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12480cb4

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

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Quadratic twists for elliptic curve 12480cb4

-4	8	-3	5
12480cv4	6240m4	37440dv3	62400gz3

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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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