Cremona's table of elliptic curves

41664 = 2⁶ · 3 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 31-	Signs for the Atkin-Lehner involutions
Class	41664x	Isogeny class
Conductor	41664	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	4484379648 = 210 · 3 · 72 · 313	Discriminant
Eigenvalues	2+ 3+  0 7-  0  4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-119173,-15795227]	[a1,a2,a3,a4,a6]
Generators	[5289:383768:1]	Generators of the group modulo torsion
j	182793612716032000/4379277	j-invariant
L	5.3530222651223	L(r)(E,1)/r!
Ω	0.25695364550112	Real period
R	6.9442126480082	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	41664de3 2604f3 124992cz3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 41664x3

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
+	+	0	-	0	4	-6	4	0	6	-	10	0	-2	0	-6	0	-8	4	-6	-4	-10	-12	6	2

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Quadratic twists for elliptic curve 41664x3

-4	8	-3
41664de3	2604f3	124992cz3

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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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