Cremona's table of elliptic curves

41070 = 2 · 3 · 5 · 37²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 37-	Signs for the Atkin-Lehner involutions
Class	41070u	Isogeny class
Conductor	41070	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	21098880	Modular degree for the optimal curve
Δ	-2.8289841954175E+26	Discriminant
Eigenvalues	2- 3+ 5+  1 -3 -6 -3  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,77865269,764831199353]	[a1,a2,a3,a4,a6]
Generators	[-101563:295458906:343]	Generators of the group modulo torsion
j	401734898254403/2176782336000	j-invariant
L	6.4967448091156	L(r)(E,1)/r!
Ω	0.039562834340933	Real period
R	2.736888849237	Regulator
r	1	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	123210bs1 41070j1	Quadratic twists by: -3 37

Hecke Eigenvalues for elliptic curve 41070u1

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	-3	-6	-3	6	6	9	-3	-	-9	-9	0	3	0	9	14	6	2	0	0	-12	3

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Quadratic twists for elliptic curve 41070u1

-3	37
123210bs1	41070j1

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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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