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	4	Product of Tamagawa factors cp
Δ	564975 = 36 · 52 · 31	Discriminant
Eigenvalues	1 3+ 5- -2 -4  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-162,729]	[a1,a2,a3,a4,a6]
Generators	[0:27:1]	Generators of the group modulo torsion
j	474734543401/564975	j-invariant
L	2.0294354736089	L(r)(E,1)/r!
Ω	2.9030659041099	Real period
R	0.69906627704725	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	7440x2 29760bb2 1395b2 2325i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 465a2

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 465a2

-4	8	-3	5	-7	-11	13	-31
7440x2	29760bb2	1395b2	2325i2	22785m2	56265m2	78585a2	14415f2

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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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