Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484o |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
29952000 |
Modular degree for the optimal curve |
Δ |
-6.5219047585273E+24 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200964716,1103343886932] |
[a1,a2,a3,a4,a6] |
j |
-25433707181870416/184799573253 |
j-invariant |
L |
6.0409937891328 |
L(r)(E,1)/r! |
Ω |
0.07551242427351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107484p1 |
Quadratic twists by: 13 |