Atkin-Lehner |
2- 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
67728z |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
277413888 = 216 · 3 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1432,20372] |
[a1,a2,a3,a4,a6] |
j |
79340706073/67728 |
j-invariant |
L |
6.9037412665089 |
L(r)(E,1)/r! |
Ω |
1.7259353167848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8466e1 |
Quadratic twists by: -4 |