Atkin-Lehner |
7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36421f |
Isogeny class |
Conductor |
36421 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
41059469297 = 72 · 117 · 43 |
Discriminant |
Eigenvalues |
-1 2 -4 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-4454] |
[a1,a2,a3,a4,a6] |
j |
47045881/23177 |
j-invariant |
L |
0.91408486982429 |
L(r)(E,1)/r! |
Ω |
0.91408486980583 |
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 |
3311b1 |
Quadratic twists by: -11 |