Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20812k |
Isogeny class |
Conductor |
20812 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
13407173648 = 24 · 117 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 -3 11- 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2702,-54683] |
[a1,a2,a3,a4,a6] |
j |
76995328/473 |
j-invariant |
L |
1.3248158799976 |
L(r)(E,1)/r! |
Ω |
0.6624079399988 |
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 |
83248be1 1892d1 |
Quadratic twists by: -4 -11 |