Atkin-Lehner |
3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95325x |
Isogeny class |
Conductor |
95325 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
7124008123828125 = 315 · 58 · 31 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 0 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1462633,680350144] |
[a1,a2,a3,a4,a6] |
Generators |
[488:9112:1] |
Generators of the group modulo torsion |
j |
22146754239644041216/455936519925 |
j-invariant |
L |
6.1329610240075 |
L(r)(E,1)/r! |
Ω |
0.38670071292311 |
Real period |
R |
0.52865698847407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19065f1 |
Quadratic twists by: 5 |