Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14706m |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
333312 |
Modular degree for the optimal curve |
Δ |
20947811394797568 = 214 · 39 · 19 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2130059,1197074971] |
[a1,a2,a3,a4,a6] |
j |
54300912478267192011/1064259076096 |
j-invariant |
L |
4.9418987396657 |
L(r)(E,1)/r! |
Ω |
0.35299276711898 |
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 |
117648t1 14706a1 |
Quadratic twists by: -4 -3 |