Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bs |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
330624 |
Modular degree for the optimal curve |
Δ |
-48821059362816 = -1 · 213 · 36 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 3 2 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8901,92394] |
[a1,a2,a3,a4,a6] |
j |
26118765063/16350074 |
j-invariant |
L |
1.5747246346107 |
L(r)(E,1)/r! |
Ω |
0.39368113998942 |
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 |
14274s1 12688e1 |
Quadratic twists by: -4 -3 |