Cremona's table of elliptic curves

46225 = 5² · 43²

Field	Data	Notes
Atkin-Lehner	5- 43-	Signs for the Atkin-Lehner involutions
Class	46225m	Isogeny class
Conductor	46225	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	609840	Modular degree for the optimal curve
Δ	-106179144963671875 = -1 · 58 · 437	Discriminant
Eigenvalues	2 -2 5-  2  4  2 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,77042,13368869]	[a1,a2,a3,a4,a6]
Generators	[3466:90597:8]	Generators of the group modulo torsion
j	20480/43	j-invariant
L	8.8494081712159	L(r)(E,1)/r!
Ω	0.23185207412358	Real period
R	3.1806947758532	Regulator
r	1	Rank of the group of rational points
S	0.99999999999872	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46225i1 1075h1	Quadratic twists by: 5 -43

Hecke Eigenvalues for elliptic curve 46225m1

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	-2	-	2	4	2	-3	-6	-3	-4	5	-2	5	-	9	3	3	-8	-3	-4	14	-1	12	-2	-9

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Quadratic twists for elliptic curve 46225m1

5	-43
46225i1	1075h1

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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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