Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fs |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11088000 |
Modular degree for the optimal curve |
Δ |
-137649330000 = -1 · 24 · 32 · 54 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-446696276,3633809548898] |
[a1,a2,a3,a4,a6] |
Generators |
[1524105:-535309:125] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
5.9838729870589 |
L(r)(E,1)/r! |
Ω |
0.23894716961248 |
Real period |
R |
6.2606652657179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550gr2 1950b1 |
Quadratic twists by: 5 -7 |