Atkin-Lehner |
3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95325s |
Isogeny class |
Conductor |
95325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
100980453515625 = 38 · 58 · 312 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138813,19888992] |
[a1,a2,a3,a4,a6] |
Generators |
[237:444:1] [-288:6144:1] |
Generators of the group modulo torsion |
j |
18931904379338761/6462749025 |
j-invariant |
L |
8.2782061759559 |
L(r)(E,1)/r! |
Ω |
0.58616137512637 |
Real period |
R |
0.88267140742875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065c1 |
Quadratic twists by: 5 |