Atkin-Lehner |
2- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936y |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1128157184 = 212 · 73 · 11 · 73 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- -4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,1396] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:14:1] [-6:56:1] |
Generators of the group modulo torsion |
j |
887503681/275429 |
j-invariant |
L |
8.8325126122269 |
L(r)(E,1)/r! |
Ω |
1.431243047344 |
Real period |
R |
0.5142681524731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5621a1 |
Quadratic twists by: -4 |