Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792m |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-287350011648 = -1 · 28 · 36 · 73 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1076,-21568] |
[a1,a2,a3,a4,a6] |
Generators |
[23:126:1] [32:216:1] |
Generators of the group modulo torsion |
j |
1567554896/3272481 |
j-invariant |
L |
11.462391101491 |
L(r)(E,1)/r! |
Ω |
0.50701251291932 |
Real period |
R |
1.8839757089219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78792h1 |
Quadratic twists by: -7 |