Atkin-Lehner |
2+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850o |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
718080 |
Modular degree for the optimal curve |
Δ |
-1529563904000000000 = -1 · 217 · 59 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-451826,131132548] |
[a1,a2,a3,a4,a6] |
j |
-5222830682270501/783136718848 |
j-invariant |
L |
3.1069215669696 |
L(r)(E,1)/r! |
Ω |
0.25891013058105 |
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 |
36850z1 |
Quadratic twists by: 5 |