Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33768k |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
3987933264 = 24 · 312 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1326,-18335] |
[a1,a2,a3,a4,a6] |
j |
22105827328/341901 |
j-invariant |
L |
1.5838013051796 |
L(r)(E,1)/r! |
Ω |
0.79190065259424 |
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 |
67536l1 11256g1 |
Quadratic twists by: -4 -3 |