Atkin-Lehner |
2- 3+ 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126n |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-21133784486304 = -1 · 25 · 313 · 7 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16491,-851463] |
[a1,a2,a3,a4,a6] |
j |
-495982476936073009/21133784486304 |
j-invariant |
L |
2.1012423580104 |
L(r)(E,1)/r! |
Ω |
0.21012423580394 |
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 |
126378o1 |
Quadratic twists by: -3 |