Atkin-Lehner |
2+ 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126j |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-353378500608 = -1 · 224 · 3 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-927,30514] |
[a1,a2,a3,a4,a6] |
j |
-87960822051817/353378500608 |
j-invariant |
L |
1.6709216935274 |
L(r)(E,1)/r! |
Ω |
0.8354608467447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378bn1 |
Quadratic twists by: -3 |