Atkin-Lehner |
2- 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114608d |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-674823434481664 = -1 · 212 · 134 · 193 · 292 |
Discriminant |
Eigenvalues |
2- -2 3 -3 -5 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4709,-1257581] |
[a1,a2,a3,a4,a6] |
j |
-2819954225152/164751815059 |
j-invariant |
L |
0.89702724811869 |
L(r)(E,1)/r! |
Ω |
0.22425686267709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7163b1 |
Quadratic twists by: -4 |