Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746v |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
102194012140077312 = 28 · 318 · 7 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228191,-38978233] |
[a1,a2,a3,a4,a6] |
j |
1802560849594143913/140183830096128 |
j-invariant |
L |
5.2683018880233 |
L(r)(E,1)/r! |
Ω |
0.21951258338336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36582e1 |
Quadratic twists by: -3 |