Atkin-Lehner |
2+ 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450h |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-142326720000000 = -1 · 212 · 34 · 57 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9500,-446000] |
[a1,a2,a3,a4,a6] |
j |
6067406185919/9108910080 |
j-invariant |
L |
2.460139409229 |
L(r)(E,1)/r! |
Ω |
0.30751742615152 |
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 |
9690v1 |
Quadratic twists by: 5 |