Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826bc |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
5663571338304 = 26 · 32 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13184,-576799] |
[a1,a2,a3,a4,a6] |
j |
5386984777/120384 |
j-invariant |
L |
2.6768840976151 |
L(r)(E,1)/r! |
Ω |
0.4461473496025 |
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 |
71478o1 1254e1 |
Quadratic twists by: -3 -19 |