Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710ch |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
5849088 |
Modular degree for the optimal curve |
Δ |
9.3504927822764E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1524770,555003695] |
[a1,a2,a3,a4,a6] |
j |
3305951312273/788486400 |
j-invariant |
L |
5.721538734752 |
L(r)(E,1)/r! |
Ω |
0.17879808231835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710cs1 |
Quadratic twists by: 17 |