Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680v |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
776848384000 = 213 · 53 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21043,-1174158] |
[a1,a2,a3,a4,a6] |
j |
251586150295689/189660250 |
j-invariant |
L |
0.79281579574109 |
L(r)(E,1)/r! |
Ω |
0.39640789370788 |
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 |
8710e2 |
Quadratic twists by: -4 |