Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296ce |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-562667042314911744 = -1 · 229 · 36 · 7 · 593 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16991,-36074017] |
[a1,a2,a3,a4,a6] |
j |
2069259936407/2146404427776 |
j-invariant |
L |
4.8862739937985 |
L(r)(E,1)/r! |
Ω |
0.13572983244952 |
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 |
79296i1 19824p1 |
Quadratic twists by: -4 8 |