Cremona's table of elliptic curves

13260 = 2² · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+ 17-	Signs for the Atkin-Lehner involutions
Class	13260g	Isogeny class
Conductor	13260	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	134640	Modular degree for the optimal curve
Δ	-104633737719264000 = -1 · 28 · 311 · 53 · 13 · 175	Discriminant
Eigenvalues	2- 3+ 5- -2 -2 13+ 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-703685,-227501775]	[a1,a2,a3,a4,a6]
j	-150528677004615417856/408725537965875	j-invariant
L	1.236077101175	L(r)(E,1)/r!
Ω	0.082405140078331	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	53040ct1 39780l1 66300ba1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13260g1

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
-	+	-	-2	-2	+	-	-2	6	-3	3	4	-2	2	4	-9	1	-2	1	-6	-6	4	6	9	6

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Quadratic twists for elliptic curve 13260g1

-4	-3	5
53040ct1	39780l1	66300ba1

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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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