Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bh |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19892778536167680 = 28 · 3 · 5 · 119 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110572223,447515652626] |
[a1,a2,a3,a4,a6] |
j |
84392862605474684114881/11228954880 |
j-invariant |
L |
3.9543600003306 |
L(r)(E,1)/r! |
Ω |
0.21968666669182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290bb3 |
Quadratic twists by: -11 |