Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285g |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
23950080 |
Modular degree for the optimal curve |
Δ |
-5.5983163256022E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 4 11- 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-154558106,-739538327119] |
[a1,a2,a3,a4,a6] |
Generators |
[83821306814175658:5801537819626480175:5019534899848] |
Generators of the group modulo torsion |
j |
-2758240050247355723776/37817291221875 |
j-invariant |
L |
13.326984438719 |
L(r)(E,1)/r! |
Ω |
0.021408993718068 |
Real period |
R |
22.231952431868 |
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 |
3795d1 |
Quadratic twists by: -23 |