Atkin-Lehner |
2- 3- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38106i |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-54752949054 = -1 · 2 · 311 · 29 · 732 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 2 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,814,-7041] |
[a1,a2,a3,a4,a6] |
j |
81916141607/75106926 |
j-invariant |
L |
4.9041036343983 |
L(r)(E,1)/r! |
Ω |
0.61301295429503 |
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 |
12702a1 |
Quadratic twists by: -3 |