Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382be |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-160330582479474 = -1 · 2 · 39 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11- -5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,-611033] |
[a1,a2,a3,a4,a6] |
j |
-14641/1026 |
j-invariant |
L |
0.50687441725046 |
L(r)(E,1)/r! |
Ω |
0.25343720861828 |
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 |
13794bf1 41382bw1 |
Quadratic twists by: -3 -11 |