Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ct |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
15546323520000000 = 212 · 35 · 57 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93408,9237312] |
[a1,a2,a3,a4,a6] |
j |
1408317602329/242911305 |
j-invariant |
L |
1.4986610907582 |
L(r)(E,1)/r! |
Ω |
0.37466519675236 |
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 |
6825j1 21840by1 |
Quadratic twists by: -4 5 |