Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960cg |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5387888000000 = -1 · 210 · 56 · 114 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11- 3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2505,122497] |
[a1,a2,a3,a4,a6] |
Generators |
[24:275:1] |
Generators of the group modulo torsion |
j |
-1698323056384/5261609375 |
j-invariant |
L |
5.5936547866654 |
L(r)(E,1)/r! |
Ω |
0.67067736074797 |
Real period |
R |
0.34751277300382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960r1 20240k1 |
Quadratic twists by: -4 8 |