Atkin-Lehner |
2- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
78416o |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
212160 |
Modular degree for the optimal curve |
Δ |
96895757963264 = 212 · 138 · 29 |
Discriminant |
Eigenvalues |
2- -2 -3 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11717,-122381] |
[a1,a2,a3,a4,a6] |
j |
53248/29 |
j-invariant |
L |
0.4896794810088 |
L(r)(E,1)/r! |
Ω |
0.48967949085044 |
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 |
4901a1 78416n1 |
Quadratic twists by: -4 13 |