Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400if |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-128318860800000000 = -1 · 215 · 33 · 58 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31167,17114463] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:4056:1] |
Generators of the group modulo torsion |
j |
261568120/10024911 |
j-invariant |
L |
9.5763111315282 |
L(r)(E,1)/r! |
Ω |
0.24921764025812 |
Real period |
R |
0.64042491278936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400fx1 31200bs1 62400el1 |
Quadratic twists by: -4 8 5 |