Atkin-Lehner |
2- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36982h |
Isogeny class |
Conductor |
36982 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-497333936 = -1 · 24 · 11 · 414 |
Discriminant |
Eigenvalues |
2- 1 1 0 11- 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,1073] |
[a1,a2,a3,a4,a6] |
j |
-1681/176 |
j-invariant |
L |
5.438513719534 |
L(r)(E,1)/r! |
Ω |
1.3596284298884 |
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 |
36982e1 |
Quadratic twists by: 41 |