Atkin-Lehner |
2+ 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19998j |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2661201479857338 = -1 · 2 · 36 · 116 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50607,-5023377] |
[a1,a2,a3,a4,a6] |
j |
-19662230809392625/3650482139722 |
j-invariant |
L |
0.63026603750742 |
L(r)(E,1)/r! |
Ω |
0.15756650937685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2222a2 |
Quadratic twists by: -3 |