Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7656f |
Isogeny class |
Conductor |
7656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1290623735808 = 211 · 34 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2992,32332] |
[a1,a2,a3,a4,a6] |
j |
1446850541666/630187371 |
j-invariant |
L |
1.5488882953595 |
L(r)(E,1)/r! |
Ω |
0.77444414767976 |
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 |
15312h4 61248p3 22968g3 84216a3 |
Quadratic twists by: -4 8 -3 -11 |