Atkin-Lehner |
2+ 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850k |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-126410240000000 = -1 · 215 · 57 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11- 6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12650,764500] |
[a1,a2,a3,a4,a6] |
Generators |
[5:835:1] |
Generators of the group modulo torsion |
j |
-14329429649569/8090255360 |
j-invariant |
L |
3.4394212051241 |
L(r)(E,1)/r! |
Ω |
0.54452760278166 |
Real period |
R |
0.78954243723217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370d1 |
Quadratic twists by: 5 |