Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430o |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
295053557760 = 220 · 32 · 5 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6204,185722] |
[a1,a2,a3,a4,a6] |
j |
26402098520407609/295053557760 |
j-invariant |
L |
1.952259858217 |
L(r)(E,1)/r! |
Ω |
0.97612992910851 |
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 |
115440bi1 43290bt1 72150cc1 |
Quadratic twists by: -4 -3 5 |