Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680s |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-98481281520 = -1 · 24 · 3 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-15135] |
[a1,a2,a3,a4,a6] |
j |
-256/255 |
j-invariant |
L |
3.844911107806 |
L(r)(E,1)/r! |
Ω |
0.48061388847458 |
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 |
69360g1 104040cu1 2040d1 |
Quadratic twists by: -4 -3 17 |