Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248bq |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9580032 |
Modular degree for the optimal curve |
Δ |
-5.1494830464138E+22 |
Discriminant |
Eigenvalues |
2- 2 -3 -4 11- 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8086712,14057807216] |
[a1,a2,a3,a4,a6] |
j |
-550494387553/484704256 |
j-invariant |
L |
1.6452179613574 |
L(r)(E,1)/r! |
Ω |
0.10282612645287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10406c1 83248bf1 |
Quadratic twists by: -4 -11 |