Atkin-Lehner |
2+ 7+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
129808a |
Isogeny class |
Conductor |
129808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37665588579721984 = -1 · 28 · 78 · 193 · 612 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12239,9352030] |
[a1,a2,a3,a4,a6] |
j |
-791993379421008/147131205389539 |
j-invariant |
L |
0.59613854631802 |
L(r)(E,1)/r! |
Ω |
0.29807016860027 |
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 |
64904a2 |
Quadratic twists by: -4 |