Atkin-Lehner |
2+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230l |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
2.8891232761318E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5524783,4276811346] |
[a1,a2,a3,a4,a6] |
j |
3863751256268453809/598557613556240 |
j-invariant |
L |
0.54754215759286 |
L(r)(E,1)/r! |
Ω |
0.13688539239757 |
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 |
8710i1 |
Quadratic twists by: 13 |