Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91960bb |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-197124426967600 = -1 · 24 · 52 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23635,-1545300] |
[a1,a2,a3,a4,a6] |
Generators |
[109145788311:1967622218045:275894451] |
Generators of the group modulo torsion |
j |
-51514894336/6954475 |
j-invariant |
L |
10.701362577522 |
L(r)(E,1)/r! |
Ω |
0.19108579332698 |
Real period |
R |
14.000730256873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360f1 |
Quadratic twists by: -11 |