Cremona's table of elliptic curves

41280 = 2⁶ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 43-	Signs for the Atkin-Lehner involutions
Class	41280v	Isogeny class
Conductor	41280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	4472078376960000 = 216 · 310 · 54 · 432	Discriminant
Eigenvalues	2+ 3+ 5-  4  0 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-67265,5916225]	[a1,a2,a3,a4,a6]
Generators	[195:420:1]	Generators of the group modulo torsion
j	513591322675396/68238500625	j-invariant
L	5.7800459104484	L(r)(E,1)/r!
Ω	0.41968599134824	Real period
R	3.4430776995197	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	41280dl2 5160d2 123840cf2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 41280v2

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
+	+	-	4	0	-6	-6	4	0	-2	8	-10	-6	-	8	6	0	-10	4	8	-6	0	-16	6	2

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Quadratic twists for elliptic curve 41280v2

-4	8	-3
41280dl2	5160d2	123840cf2

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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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