Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600i |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
11610000000000 = 210 · 33 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8008,224512] |
[a1,a2,a3,a4,a6] |
j |
3550014724/725625 |
j-invariant |
L |
2.7110064474637 |
L(r)(E,1)/r! |
Ω |
0.67775161185863 |
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 |
25800bd1 10320n1 |
Quadratic twists by: -4 5 |