Cremona's table of elliptic curves

45675 = 3² · 5² · 7 · 29

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 29+	Signs for the Atkin-Lehner involutions
Class	45675v	Isogeny class
Conductor	45675	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	9.0581168057719E+21	Discriminant
Eigenvalues	-1 3- 5+ 7- -4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-26141630,51247808372]	[a1,a2,a3,a4,a6]
Generators	[-3276:320575:1]	Generators of the group modulo torsion
j	173449931524273005841/795225618065025	j-invariant
L	3.0203276021119	L(r)(E,1)/r!
Ω	0.13062771897767	Real period
R	1.445102743974	Regulator
r	1	Rank of the group of rational points
S	0.99999999999094	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	15225x5 9135c5	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 45675v6

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	-	+	-	-4	2	2	-4	-8	+	-8	-6	-10	12	8	6	-12	-2	-4	8	6	8	-12	6	14

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Quadratic twists for elliptic curve 45675v6

-3	5
15225x5	9135c5

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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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