Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62920h |
Isogeny class |
Conductor |
62920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448000 |
Modular degree for the optimal curve |
Δ |
-5.2152234395653E+22 |
Discriminant |
Eigenvalues |
2+ 1 5+ 5 11- 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91952296,-339592943120] |
[a1,a2,a3,a4,a6] |
Generators |
[35507498846457373593314955405:4288535249117928443076565582030:1773149334823058316950951] |
Generators of the group modulo torsion |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
8.3951986425284 |
L(r)(E,1)/r! |
Ω |
0.024376037826001 |
Real period |
R |
43.050467750616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840n1 5720d1 |
Quadratic twists by: -4 -11 |