Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296bs |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
33011241984 = 210 · 33 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12269,-518931] |
[a1,a2,a3,a4,a6] |
j |
199474163304448/32237541 |
j-invariant |
L |
1.3608797921263 |
L(r)(E,1)/r! |
Ω |
0.45362661248025 |
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 |
79296r1 19824j1 |
Quadratic twists by: -4 8 |