Atkin-Lehner |
3- 11+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79101d |
Isogeny class |
Conductor |
79101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83968 |
Modular degree for the optimal curve |
Δ |
42037514541 = 314 · 11 · 17 · 47 |
Discriminant |
Eigenvalues |
1 3- 3 3 11+ -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-873,-932] |
[a1,a2,a3,a4,a6] |
j |
100999381393/57664629 |
j-invariant |
L |
1.9016034646705 |
L(r)(E,1)/r! |
Ω |
0.95080178143875 |
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 |
26367b1 |
Quadratic twists by: -3 |