Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gi |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-367578956463467760 = -1 · 24 · 311 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-834537,-294884381] |
[a1,a2,a3,a4,a6] |
Generators |
[448597403398247530:5397637626180491607:399680381503781] |
Generators of the group modulo torsion |
j |
-212464384/1215 |
j-invariant |
L |
8.637705139508 |
L(r)(E,1)/r! |
Ω |
0.078951372257529 |
Real period |
R |
27.351345811106 |
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 |
21780be1 29040de1 87120gj1 |
Quadratic twists by: -4 -3 -11 |