Atkin-Lehner |
2- 3+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bw |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
226590285937500 = 22 · 38 · 58 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -1 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15388,117281] |
[a1,a2,a3,a4,a6] |
j |
1031601522145/580071132 |
j-invariant |
L |
3.8587800869122 |
L(r)(E,1)/r! |
Ω |
0.48234757766767 |
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 |
106950bb1 |
Quadratic twists by: 5 |