Atkin-Lehner |
2- 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126l |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
243382030288272 = 24 · 37 · 195 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1392170,632594009] |
[a1,a2,a3,a4,a6] |
j |
409329178597906017625/333857380368 |
j-invariant |
L |
3.7033529018809 |
L(r)(E,1)/r! |
Ω |
0.46291911273511 |
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 |
6042e1 |
Quadratic twists by: -3 |