Atkin-Lehner |
2+ 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158u |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
18799941888 = 28 · 39 · 7 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18936,1007680] |
[a1,a2,a3,a4,a6] |
j |
1030086793846657/25788672 |
j-invariant |
L |
2.2674544496367 |
L(r)(E,1)/r! |
Ω |
1.1337272291046 |
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 |
22386s1 |
Quadratic twists by: -3 |