Atkin-Lehner |
2+ 3- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
38106g |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
237580796362752 = 216 · 310 · 292 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18423,-608931] |
[a1,a2,a3,a4,a6] |
j |
948616119380593/325899583488 |
j-invariant |
L |
1.6849924908928 |
L(r)(E,1)/r! |
Ω |
0.42124812272312 |
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 |
12702e1 |
Quadratic twists by: -3 |