Atkin-Lehner |
2+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49984i |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
72066531328 = 223 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ -1 2 3 11- 5 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1057,3233] |
[a1,a2,a3,a4,a6] |
j |
498677257/274912 |
j-invariant |
L |
3.7984424197801 |
L(r)(E,1)/r! |
Ω |
0.94961060484416 |
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 |
49984o1 1562a1 |
Quadratic twists by: -4 8 |