Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bq |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-28172916849664 = -1 · 210 · 317 |
Discriminant |
Eigenvalues |
2- 0 3 3 -2 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3844,-238328] |
[a1,a2,a3,a4,a6] |
Generators |
[93:961:1] |
Generators of the group modulo torsion |
j |
6912/31 |
j-invariant |
L |
7.904965508678 |
L(r)(E,1)/r! |
Ω |
0.33571735124308 |
Real period |
R |
0.65406918775014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504l1 15376f1 1984g1 |
Quadratic twists by: -4 8 -31 |