Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bn |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1516668124611150000 = -1 · 24 · 32 · 55 · 79 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,258165,-30925350] |
[a1,a2,a3,a4,a6] |
j |
2947214723072/2349028125 |
j-invariant |
L |
2.9800650525695 |
L(r)(E,1)/r! |
Ω |
0.1490032595193 |
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 |
99960h1 |
Quadratic twists by: -7 |