Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42108b |
Isogeny class |
Conductor |
42108 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
243000 |
Modular degree for the optimal curve |
Δ |
-11794863311695728 = -1 · 24 · 315 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11414,-5242455] |
[a1,a2,a3,a4,a6] |
j |
-5802287872/416118303 |
j-invariant |
L |
0.53158340905339 |
L(r)(E,1)/r! |
Ω |
0.17719446965595 |
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 |
126324h1 348c1 |
Quadratic twists by: -3 -11 |