Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bz |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-54123526750924800 = -1 · 212 · 32 · 52 · 136 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,66240,-9045900] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1656:1] |
Generators of the group modulo torsion |
j |
7847262474528959/13213751648175 |
j-invariant |
L |
8.1016589551273 |
L(r)(E,1)/r! |
Ω |
0.18625559654714 |
Real period |
R |
1.8123972076307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4485b1 |
Quadratic twists by: -4 |