Atkin-Lehner |
2+ 3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450a |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-3454411640625000 = -1 · 23 · 33 · 510 · 11 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85950,-10138500] |
[a1,a2,a3,a4,a6] |
Generators |
[122010057425274648655:3312007208357067299222:139511685711186125] |
Generators of the group modulo torsion |
j |
-7190667495025/353731752 |
j-invariant |
L |
4.6250903137565 |
L(r)(E,1)/r! |
Ω |
0.13901565712962 |
Real period |
R |
33.270283428896 |
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 |
87450cm1 |
Quadratic twists by: 5 |