Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565l |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4161397534121025 = 34 · 52 · 112 · 198 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-226535,-41478460] |
[a1,a2,a3,a4,a6] |
j |
27328019461561/88454025 |
j-invariant |
L |
1.7510164297493 |
L(r)(E,1)/r! |
Ω |
0.21887705295775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3135g2 |
Quadratic twists by: -19 |