Atkin-Lehner |
2+ 3- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126f |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
150480 |
Modular degree for the optimal curve |
Δ |
-43829977153536 = -1 · 219 · 35 · 73 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3637,-306826] |
[a1,a2,a3,a4,a6] |
j |
5322617481043799/43829977153536 |
j-invariant |
L |
1.5890952160391 |
L(r)(E,1)/r! |
Ω |
0.31781904318209 |
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 |
126378bi1 |
Quadratic twists by: -3 |