Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188i |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-14023113984 = -1 · 28 · 39 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,-5346] |
[a1,a2,a3,a4,a6] |
j |
4752/23 |
j-invariant |
L |
1.2623247266551 |
L(r)(E,1)/r! |
Ω |
0.63116235595489 |
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 |
100188b1 100188h1 |
Quadratic twists by: -3 -11 |