Atkin-Lehner |
2- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41038h |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
1278310564590464512 = 29 · 178 · 713 |
Discriminant |
Eigenvalues |
2- -1 0 1 6 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-299988,-32381291] |
[a1,a2,a3,a4,a6] |
j |
123692088390625/52959374848 |
j-invariant |
L |
3.8166155842973 |
L(r)(E,1)/r! |
Ω |
0.21203419913236 |
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 |
2414e1 |
Quadratic twists by: 17 |