Atkin-Lehner |
2+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800i |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42496 |
Modular degree for the optimal curve |
Δ |
18848000 = 28 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-988,-11628] |
[a1,a2,a3,a4,a6] |
j |
3336445712/589 |
j-invariant |
L |
3.4059493090629 |
L(r)(E,1)/r! |
Ω |
0.85148753474825 |
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 |
117800o1 |
Quadratic twists by: 5 |