Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490bf |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-635119393500 = -1 · 22 · 33 · 53 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2098,-10599] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
6.3118114060714 |
L(r)(E,1)/r! |
Ω |
0.52598428383932 |
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 |
32490b3 90a1 |
Quadratic twists by: -3 -19 |