Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624l |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-3763968 = -1 · 28 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 1 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-480] |
[a1,a2,a3,a4,a6] |
j |
-3250000/87 |
j-invariant |
L |
1.4774837775653 |
L(r)(E,1)/r! |
Ω |
0.7387423834285 |
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 |
117624bp1 |
Quadratic twists by: 13 |