Atkin-Lehner |
7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
105287d |
Isogeny class |
Conductor |
105287 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108528 |
Modular degree for the optimal curve |
Δ |
-161029833419 = -1 · 77 · 133 · 89 |
Discriminant |
Eigenvalues |
0 1 2 7+ -6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1283,8181] |
[a1,a2,a3,a4,a6] |
j |
106227040256/73295327 |
j-invariant |
L |
1.2914196462541 |
L(r)(E,1)/r! |
Ω |
0.64570962836931 |
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 |
105287f1 |
Quadratic twists by: 13 |