Cremona's table of elliptic curves

345 = 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	345c	Isogeny class
Conductor	345	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	1364501953125 = 35 · 512 · 23	Discriminant
Eigenvalues	1 3- 5+  4  4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-30134,2010071]	[a1,a2,a3,a4,a6]
j	3026030815665395929/1364501953125	j-invariant
L	2.1067250612821	L(r)(E,1)/r!
Ω	0.84269002451286	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5520q3 22080r4 1035g3 1725g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 345c4

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	6	-2	-4	+	-10	-8	2	2	-8	0	-6	0	6	8	-4	10	16	-12	-10	-10

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Quadratic twists for elliptic curve 345c4

-4	8	-3	5	-7	-11	13	17	-19	-23
5520q3	22080r4	1035g3	1725g4	16905l3	41745z4	58305l4	99705j4	124545k4	7935j3

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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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