Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bg |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
2103861970112348160 = 224 · 32 · 5 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-343643,-33820954] |
[a1,a2,a3,a4,a6] |
j |
2533309721804161/1187575234560 |
j-invariant |
L |
1.6508947418389 |
L(r)(E,1)/r! |
Ω |
0.20636184276631 |
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 |
4290bc1 |
Quadratic twists by: -11 |