Cremona's table of elliptic curves

465 = 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	3+ 5- 31-	Signs for the Atkin-Lehner involutions
Class	465a	Isogeny class
Conductor	465	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-129735 = -1 · 33 · 5 · 312	Discriminant
Eigenvalues	1 3+ 5- -2 -4  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-7,16]	[a1,a2,a3,a4,a6]
Generators	[0:4:1]	Generators of the group modulo torsion
j	-47045881/129735	j-invariant
L	2.0294354736089	L(r)(E,1)/r!
Ω	2.9030659041099	Real period
R	1.3981325540945	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	7440x1 29760bb1 1395b1 2325i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 465a1

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	+	-	-2	-4	0	2	-8	-8	0	-	8	-6	0	4	6	10	-14	2	6	-16	0	4	4	6

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Quadratic twists for elliptic curve 465a1

-4	8	-3	5	-7	-11	13	-31
7440x1	29760bb1	1395b1	2325i1	22785m1	56265m1	78585a1	14415f1

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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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