Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960cg |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-522248616960 = -1 · 210 · 3 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-47844] |
[a1,a2,a3,a4,a6] |
j |
-7086244/4335 |
j-invariant |
L |
0.69662990918059 |
L(r)(E,1)/r! |
Ω |
0.34831493419141 |
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 |
2040o1 |
Quadratic twists by: -7 |