Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dc |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-4.0406522112E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1168125,836181250] |
[a1,a2,a3,a4,a6] |
Generators |
[126595:6912378:125] |
Generators of the group modulo torsion |
j |
6045109175/13856832 |
j-invariant |
L |
6.1705940674647 |
L(r)(E,1)/r! |
Ω |
0.11716914310363 |
Real period |
R |
6.5829982024424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950n1 13200ci1 39600ej1 |
Quadratic twists by: -4 -3 5 |