Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160be |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
158125260800 = 224 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2800,-52800] |
[a1,a2,a3,a4,a6] |
Generators |
[4395:52480:27] |
Generators of the group modulo torsion |
j |
592915705201/38604800 |
j-invariant |
L |
8.7688230002881 |
L(r)(E,1)/r! |
Ω |
0.65897409731862 |
Real period |
R |
6.6533897432148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770g1 120640bw1 |
Quadratic twists by: -4 8 |