Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792f |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-4635771365200752 = -1 · 24 · 37 · 711 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95076,-11718027] |
[a1,a2,a3,a4,a6] |
j |
-50493184681216/2462712903 |
j-invariant |
L |
4.33778502319 |
L(r)(E,1)/r! |
Ω |
0.13555578261835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11256c1 |
Quadratic twists by: -7 |