Atkin-Lehner |
2+ 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296f |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
188579397500928 = 228 · 35 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14337,14337] |
[a1,a2,a3,a4,a6] |
j |
1243337227777/719373312 |
j-invariant |
L |
3.8413097271657 |
L(r)(E,1)/r! |
Ω |
0.48016372047989 |
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 |
79296cc1 2478h1 |
Quadratic twists by: -4 8 |