Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490bm |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-117293849591580 = -1 · 22 · 38 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-521053] |
[a1,a2,a3,a4,a6] |
j |
-1/3420 |
j-invariant |
L |
1.0817913258508 |
L(r)(E,1)/r! |
Ω |
0.27044783146274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830o1 1710f1 |
Quadratic twists by: -3 -19 |