Atkin-Lehner |
2+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
106808d |
Isogeny class |
Conductor |
106808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
390469540864 = 210 · 136 · 79 |
Discriminant |
Eigenvalues |
2+ 1 1 5 -4 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2760,46112] |
[a1,a2,a3,a4,a6] |
j |
470596/79 |
j-invariant |
L |
1.8133365583936 |
L(r)(E,1)/r! |
Ω |
0.90666817651593 |
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 |
632a1 |
Quadratic twists by: 13 |