Atkin-Lehner |
2- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450v |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
17638400000000 = 216 · 58 · 13 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6838,80292] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-2086:1] [-78:414:1] |
Generators of the group modulo torsion |
j |
2263054145689/1128857600 |
j-invariant |
L |
8.6749617679289 |
L(r)(E,1)/r! |
Ω |
0.61242811962846 |
Real period |
R |
0.88530407588794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890a1 |
Quadratic twists by: 5 |