Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826d |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3262217090863104 = 212 · 34 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-135021,-18953955] |
[a1,a2,a3,a4,a6] |
j |
5786435182177/69341184 |
j-invariant |
L |
0.49847508610442 |
L(r)(E,1)/r! |
Ω |
0.24923754305218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71478cs1 1254i1 |
Quadratic twists by: -3 -19 |