Cremona's table of elliptic curves

41325 = 3 · 5² · 19 · 29

Field	Data	Notes
Atkin-Lehner	3- 5- 19- 29-	Signs for the Atkin-Lehner involutions
Class	41325p	Isogeny class
Conductor	41325	Conductor
∏ cp	105	Product of Tamagawa factors cp
deg	856800	Modular degree for the optimal curve
Δ	1.2018758537395E+20	Discriminant
Eigenvalues	-1 3- 5- -1  3  0  5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1240388,67098267]	[a1,a2,a3,a4,a6]
Generators	[-527:24232:1]	Generators of the group modulo torsion
j	540301741641858145/307680218557317	j-invariant
L	4.7202298344182	L(r)(E,1)/r!
Ω	0.15994909751949	Real period
R	0.28105547670347	Regulator
r	1	Rank of the group of rational points
S	0.99999999999937	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	123975bk1 41325e1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 41325p1

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	-	-	-1	3	0	5	-	-4	-	4	3	-4	2	-3	-6	3	0	10	-5	6	-9	-4	-10	-2

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Quadratic twists for elliptic curve 41325p1

-3	5
123975bk1	41325e1

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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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