Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296bu |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1136866752 = 26 · 36 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-540,-4374] |
[a1,a2,a3,a4,a6] |
j |
272601987904/17763543 |
j-invariant |
L |
0.99427571145873 |
L(r)(E,1)/r! |
Ω |
0.99427572898124 |
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 |
79296bz1 39648e2 |
Quadratic twists by: -4 8 |