Atkin-Lehner |
2- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040ba |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3783151791964160 = 216 · 5 · 73 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39256,-439824] |
[a1,a2,a3,a4,a6] |
j |
1633401545467609/923621042960 |
j-invariant |
L |
0.73132248890453 |
L(r)(E,1)/r! |
Ω |
0.36566165301858 |
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 |
14630g1 |
Quadratic twists by: -4 |