Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752d |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
5077908755406144 = 26 · 315 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11102241,-14238494660] |
[a1,a2,a3,a4,a6] |
j |
3243755870996270894272/108837207549 |
j-invariant |
L |
0.66166301315158 |
L(r)(E,1)/r! |
Ω |
0.082707880755814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752bm1 31584z1 |
Quadratic twists by: -4 -3 |