Atkin-Lehner |
2+ 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994n |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2420561172384 = 25 · 310 · 313 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 1 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75429,-7954443] |
[a1,a2,a3,a4,a6] |
j |
65105019418463569/3320385696 |
j-invariant |
L |
1.7284916131891 |
L(r)(E,1)/r! |
Ω |
0.28808193553152 |
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 |
7998j1 |
Quadratic twists by: -3 |