Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018v |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-3628667137568 = -1 · 25 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 1 -4 -4 11- -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1074180,428423216] |
[a1,a2,a3,a4,a6] |
Generators |
[76:18596:1] [604:-60:1] |
Generators of the group modulo torsion |
j |
-146265917771209/3872 |
j-invariant |
L |
13.870784653952 |
L(r)(E,1)/r! |
Ω |
0.57482697920362 |
Real period |
R |
1.2065182355526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638i1 128018u1 |
Quadratic twists by: -11 -23 |