Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950s |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
28072000000000 = 212 · 59 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11805,-419803] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:296:1] |
Generators of the group modulo torsion |
j |
93144487437/14372864 |
j-invariant |
L |
7.8017877733191 |
L(r)(E,1)/r! |
Ω |
0.46277479026479 |
Real period |
R |
1.4048928221391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600bl1 15950j1 |
Quadratic twists by: -4 5 |