Atkin-Lehner |
2+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800f |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6938420000000000 = 211 · 510 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240666408,1437128400812] |
[a1,a2,a3,a4,a6] |
j |
48174827010048122020418/216825625 |
j-invariant |
L |
1.6122174939954 |
L(r)(E,1)/r! |
Ω |
0.2015272655449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560d2 |
Quadratic twists by: 5 |