Cremona's table of elliptic curves

12360 = 2³ · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 103-	Signs for the Atkin-Lehner involutions
Class	12360d	Isogeny class
Conductor	12360	Conductor
∏ cp	130	Product of Tamagawa factors cp
deg	1601600	Modular degree for the optimal curve
Δ	-1.4786058559682E+24	Discriminant
Eigenvalues	2+ 3- 5+ -1  0  4  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-54039736,163695868064]	[a1,a2,a3,a4,a6]
Generators	[1412:300348:1]	Generators of the group modulo torsion
j	-17043681884495578064985316/1443951031218905390625	j-invariant
L	5.258056616853	L(r)(E,1)/r!
Ω	0.083221009250803	Real period
R	0.48601416546768	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24720a1 98880n1 37080s1 61800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12360d1

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
+	-	+	-1	0	4	3	-6	2	-6	-5	-1	0	6	-7	0	0	-9	16	0	-9	6	2	7	2

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Quadratic twists for elliptic curve 12360d1

-4	8	-3	5
24720a1	98880n1	37080s1	61800h1

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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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