Atkin-Lehner |
2- 3- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12126h |
Isogeny class |
Conductor |
12126 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
193200 |
Modular degree for the optimal curve |
Δ |
-377350820222309352 = -1 · 23 · 314 · 43 · 475 |
Discriminant |
Eigenvalues |
2- 3- 2 3 6 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,165558,-14171508] |
[a1,a2,a3,a4,a6] |
j |
501850154464979630687/377350820222309352 |
j-invariant |
L |
7.0743070218838 |
L(r)(E,1)/r! |
Ω |
0.16843588147342 |
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 |
97008r1 36378e1 |
Quadratic twists by: -4 -3 |