Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200gb |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11128320 |
Modular degree for the optimal curve |
Δ |
-3.9148506617213E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50659275,-168294093190] |
[a1,a2,a3,a4,a6] |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
1.785537329962 |
L(r)(E,1)/r! |
Ω |
0.027899020812569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650ce1 20400bz1 61200gv1 |
Quadratic twists by: -4 -3 5 |