Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490bl |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11761966584044550 = -1 · 2 · 36 · 52 · 199 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9032288,-10446022119] |
[a1,a2,a3,a4,a6] |
j |
-2376117230685121/342950 |
j-invariant |
L |
3.1351087577667 |
L(r)(E,1)/r! |
Ω |
0.043543177191208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3610e2 1710e2 |
Quadratic twists by: -3 -19 |