Cremona's table of elliptic curves

40560 = 2⁴ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	40560bs	Isogeny class
Conductor	40560	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	943488	Modular degree for the optimal curve
Δ	-3811511582641152000 = -1 · 213 · 33 · 53 · 1310	Discriminant
Eigenvalues	2- 3+ 5-  2 -3 13+  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2294400,-1340208000]	[a1,a2,a3,a4,a6]
Generators	[42520:8762040:1]	Generators of the group modulo torsion
j	-2365581049/6750	j-invariant
L	5.920590232046	L(r)(E,1)/r!
Ω	0.061323656197248	Real period
R	8.0455496285153	Regulator
r	1	Rank of the group of rational points
S	1.0000000000004	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5070u1 121680do1 40560bj1	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 40560bs1

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	+	6	2	-3	3	5	7	-6	1	-3	-6	-9	2	8	-12	-14	-5	-6	18	-14

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Quadratic twists for elliptic curve 40560bs1

-4	-3	13
5070u1	121680do1	40560bj1

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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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