Atkin-Lehner |
2- 3+ 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370r |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4731302861040600 = 23 · 310 · 52 · 136 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77411,7568489] |
[a1,a2,a3,a4,a6] |
j |
51301740077372365489/4731302861040600 |
j-invariant |
L |
2.5344015992618 |
L(r)(E,1)/r! |
Ω |
0.42240026654368 |
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 |
97110z2 |
Quadratic twists by: -3 |