Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350dh |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-1915214313937500 = -1 · 22 · 32 · 56 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20113,-2376283] |
[a1,a2,a3,a4,a6] |
j |
-389017/828 |
j-invariant |
L |
6.7643739657386 |
L(r)(E,1)/r! |
Ω |
0.18789927535892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3174a1 3450x1 |
Quadratic twists by: 5 -23 |