Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35600s |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-569600000000000 = -1 · 217 · 511 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3992,-1145488] |
[a1,a2,a3,a4,a6] |
j |
109902239/8900000 |
j-invariant |
L |
1.96971598347 |
L(r)(E,1)/r! |
Ω |
0.24621449793472 |
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 |
4450a1 7120n1 |
Quadratic twists by: -4 5 |