Atkin-Lehner |
2- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76850j |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
789120 |
Modular degree for the optimal curve |
Δ |
-421624316406250 = -1 · 2 · 511 · 29 · 533 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1436380,-662242503] |
[a1,a2,a3,a4,a6] |
Generators |
[8411326653666657903790809706674391971638794100988:151161833282061136617497876730815791532060229219195:5436900614895052455012033164109007337452321472] |
Generators of the group modulo torsion |
j |
-20975457927160031049/26983956250 |
j-invariant |
L |
10.523667503562 |
L(r)(E,1)/r! |
Ω |
0.068952848469076 |
Real period |
R |
76.310607445621 |
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 |
15370c1 |
Quadratic twists by: 5 |