Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360m |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
908544 |
Modular degree for the optimal curve |
Δ |
-11216297413750000 = -1 · 24 · 57 · 11 · 138 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11+ 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158916,24857509] |
[a1,a2,a3,a4,a6] |
j |
-34006545664/859375 |
j-invariant |
L |
0.80592381767253 |
L(r)(E,1)/r! |
Ω |
0.40296189498417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74360k1 |
Quadratic twists by: 13 |