Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160bc |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-50147098624000 = -1 · 227 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9200,24000] |
[a1,a2,a3,a4,a6] |
j |
21022290802799/12242944000 |
j-invariant |
L |
4.5892098179367 |
L(r)(E,1)/r! |
Ω |
0.38243415149618 |
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 |
4270j1 |
Quadratic twists by: -4 |