Cremona's table of elliptic curves

11560 = 2³ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17-	Signs for the Atkin-Lehner involutions
Class	11560n	Isogeny class
Conductor	11560	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	330480	Modular degree for the optimal curve
Δ	-2.7903029764E+19	Discriminant
Eigenvalues	2-  2 5- -3  5 -3 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,758240,2525100]	[a1,a2,a3,a4,a6]
j	3374596798/1953125	j-invariant
L	3.397750431327	L(r)(E,1)/r!
Ω	0.12584260856767	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	23120n1 92480bp1 104040w1 57800l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11560n1

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	-	-3	5	-3	-	4	1	6	10	2	-6	-10	1	7	9	0	-10	6	14	-10	-14	13	-6

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Quadratic twists for elliptic curve 11560n1

-4	8	-3	5	17
23120n1	92480bp1	104040w1	57800l1	11560g1

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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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