Atkin-Lehner |
2+ 3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126g |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-183690636158234016 = -1 · 25 · 34 · 73 · 172 · 595 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86608,22828094] |
[a1,a2,a3,a4,a6] |
j |
-71844004769731964281/183690636158234016 |
j-invariant |
L |
2.2611984081112 |
L(r)(E,1)/r! |
Ω |
0.28264980099849 |
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 |
126378bj1 |
Quadratic twists by: -3 |