Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382bu |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
42401476358208 = 26 · 39 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,26183] |
[a1,a2,a3,a4,a6] |
j |
57066625/32832 |
j-invariant |
L |
6.5777763918618 |
L(r)(E,1)/r! |
Ω |
0.54814803264662 |
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 |
13794m1 342c1 |
Quadratic twists by: -3 -11 |