Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960b |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
51439088730960 = 24 · 38 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69351,-6998004] |
[a1,a2,a3,a4,a6] |
j |
19596564207616/27326565 |
j-invariant |
L |
1.176880255238 |
L(r)(E,1)/r! |
Ω |
0.29422001907815 |
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 |
14280x1 |
Quadratic twists by: -7 |