Atkin-Lehner |
2- 3+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728t |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
1216140941707444224 = 219 · 39 · 175 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 0 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68786472,-219562064784] |
[a1,a2,a3,a4,a6] |
j |
8787652539464067883964713/296909409596544 |
j-invariant |
L |
0.52423232356714 |
L(r)(E,1)/r! |
Ω |
0.052423232433716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466j1 |
Quadratic twists by: -4 |