Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48400bi |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
235794769100000000 = 28 · 58 · 119 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4425575,-3583384750] |
[a1,a2,a3,a4,a6] |
j |
1016339184/25 |
j-invariant |
L |
1.8736146541195 |
L(r)(E,1)/r! |
Ω |
0.10408970300397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12100b2 9680k2 48400bj2 |
Quadratic twists by: -4 5 -11 |