Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800a |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1.224736768E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1384300,-603858000] |
[a1,a2,a3,a4,a6] |
Generators |
[3180981584544986:-582461165480951808:94756448879] |
Generators of the group modulo torsion |
j |
71623315478889/2990080000 |
j-invariant |
L |
6.2624316659469 |
L(r)(E,1)/r! |
Ω |
0.13954355512027 |
Real period |
R |
22.438985644994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116800bn1 3650h1 23360i1 |
Quadratic twists by: -4 8 5 |