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 |