Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640cq |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
321680451996800000 = 210 · 55 · 132 · 296 |
Discriminant |
Eigenvalues |
2- 2 5- 0 4 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736685,-241592083] |
[a1,a2,a3,a4,a6] |
j |
43178726198367422464/314141066403125 |
j-invariant |
L |
4.8909225273764 |
L(r)(E,1)/r! |
Ω |
0.16303074271041 |
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 |
120640bg1 30160c1 |
Quadratic twists by: -4 8 |