Atkin-Lehner |
2- 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114608l |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
557453312 = 212 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 4 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45371,-3719766] |
[a1,a2,a3,a4,a6] |
Generators |
[22267311:-2879899008:1331] |
Generators of the group modulo torsion |
j |
2521731355194897/136097 |
j-invariant |
L |
7.6346458006139 |
L(r)(E,1)/r! |
Ω |
0.32711839615204 |
Real period |
R |
11.669545148476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7163c1 |
Quadratic twists by: -4 |