Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658bd |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2760432759864 = 23 · 32 · 138 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-338764,75863384] |
[a1,a2,a3,a4,a6] |
j |
890749187850313/571896 |
j-invariant |
L |
3.9998438737983 |
L(r)(E,1)/r! |
Ω |
0.66664064553314 |
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 |
3666g2 |
Quadratic twists by: 13 |