Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20812j |
Isogeny class |
Conductor |
20812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
-147478910128 = -1 · 24 · 118 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1291,5212] |
[a1,a2,a3,a4,a6] |
Generators |
[7:121:1] |
Generators of the group modulo torsion |
j |
8388608/5203 |
j-invariant |
L |
1.6496653084305 |
L(r)(E,1)/r! |
Ω |
0.63701482237131 |
Real period |
R |
0.86322706604618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83248bp1 1892e1 |
Quadratic twists by: -4 -11 |