Atkin-Lehner |
3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565b |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.9230896424953E+25 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-522565918,4587798509197] |
[a1,a2,a3,a4,a6] |
j |
48906270894763586611/121575432515625 |
j-invariant |
L |
2.0753480413427 |
L(r)(E,1)/r! |
Ω |
0.064854626468559 |
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 |
59565n2 |
Quadratic twists by: -19 |