Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018c |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9909504 |
Modular degree for the optimal curve |
Δ |
-3.5520562349967E+22 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23279273,-44166601055] |
[a1,a2,a3,a4,a6] |
Generators |
[194296500885:8660103119320:29503629] |
Generators of the group modulo torsion |
j |
-157113/4 |
j-invariant |
L |
3.58575017626 |
L(r)(E,1)/r! |
Ω |
0.034314227972331 |
Real period |
R |
17.416245816708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018r1 128018b1 |
Quadratic twists by: -11 -23 |