Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23826bd |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-16296984 = -1 · 23 · 33 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-606,-5796] |
[a1,a2,a3,a4,a6] |
Generators |
[30:42:1] |
Generators of the group modulo torsion |
j |
-3588604291/2376 |
j-invariant |
L |
9.7353627547652 |
L(r)(E,1)/r! |
Ω |
0.48109453659593 |
Real period |
R |
1.1242145674793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478t1 23826b1 |
Quadratic twists by: -3 -19 |