Atkin-Lehner |
2+ 3+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882d |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
569006157791232 = 216 · 33 · 75 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60537,-5601811] |
[a1,a2,a3,a4,a6] |
Generators |
[355:4012:1] |
Generators of the group modulo torsion |
j |
908712848139244875/21074302140416 |
j-invariant |
L |
5.6397086109694 |
L(r)(E,1)/r! |
Ω |
0.30479467853052 |
Real period |
R |
1.8503303780754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000147813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882ba1 |
Quadratic twists by: -3 |