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	465b	Isogeny class
Conductor	465	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	216225 = 32 · 52 · 312	Discriminant
Eigenvalues	-1 3- 5- -4 -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-15,0]	[a1,a2,a3,a4,a6]
Generators	[-3:6:1]	Generators of the group modulo torsion
j	374805361/216225	j-invariant
L	1.4675682334608	L(r)(E,1)/r!
Ω	2.6840015689357	Real period
R	1.0935673439585	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7440r2 29760f2 1395a2 2325b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 465b2

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	-4	2	-6	-4	0	-6	+	10	-6	-12	0	-2	-8	6	8	-12	6	-8	12	6	-6

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Quadratic twists for elliptic curve 465b2

-4	8	-3	5	-7	-11	13	-31
7440r2	29760f2	1395a2	2325b2	22785e2	56265w2	78585j2	14415c2

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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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