Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188h |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-24842801832609024 = -1 · 28 · 39 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35937,7115526] |
[a1,a2,a3,a4,a6] |
j |
4752/23 |
j-invariant |
L |
1.6283423869579 |
L(r)(E,1)/r! |
Ω |
0.27139041091142 |
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 |
100188a1 100188i1 |
Quadratic twists by: -3 -11 |