Atkin-Lehner |
3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985p |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3157025625 = 36 · 54 · 132 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,-15957] |
[a1,a2,a3,a4,a6] |
j |
278317173889/4330625 |
j-invariant |
L |
3.2315216719558 |
L(r)(E,1)/r! |
Ω |
0.80788041798895 |
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 |
2665e1 119925p1 |
Quadratic twists by: -3 5 |