Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115444h |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
192240 |
Modular degree for the optimal curve |
Δ |
962865761536 = 28 · 72 · 195 · 31 |
Discriminant |
Eigenvalues |
2- -1 3 7- 6 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3229,-51463] |
[a1,a2,a3,a4,a6] |
j |
296911003648/76759069 |
j-invariant |
L |
3.227152665629 |
L(r)(E,1)/r! |
Ω |
0.64543060802711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115444a1 |
Quadratic twists by: -7 |