Atkin-Lehner |
2- 3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402y |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-13877722643904 = -1 · 26 · 38 · 7 · 173 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4216,-146037] |
[a1,a2,a3,a4,a6] |
j |
11370892655303/19036656576 |
j-invariant |
L |
4.4532822593269 |
L(r)(E,1)/r! |
Ω |
0.37110685516705 |
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 |
22134g1 |
Quadratic twists by: -3 |