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	16	Product of Tamagawa factors cp
Δ	1569375 = 34 · 54 · 31	Discriminant
Eigenvalues	-1 3- 5- -4 -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-170,837]	[a1,a2,a3,a4,a6]
Generators	[-11:43:1]	Generators of the group modulo torsion
j	543538277281/1569375	j-invariant
L	1.4675682334608	L(r)(E,1)/r!
Ω	2.6840015689357	Real period
R	0.54678367197926	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	7440r3 29760f4 1395a3 2325b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 465b3

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 465b3

-4	8	-3	5	-7	-11	13	-31
7440r3	29760f4	1395a3	2325b3	22785e4	56265w4	78585j4	14415c3

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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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