Atkin-Lehner |
2- 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106782n |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2813184 |
Modular degree for the optimal curve |
Δ |
1.0278933923872E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2217124,-1262197279] |
[a1,a2,a3,a4,a6] |
j |
9274236301/79092 |
j-invariant |
L |
2.9708909556662 |
L(r)(E,1)/r! |
Ω |
0.12378712910735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106782b1 |
Quadratic twists by: 37 |