Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400bj |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
49863600000000 = 210 · 38 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90075,-10399750] |
[a1,a2,a3,a4,a6] |
j |
6929294404/4275 |
j-invariant |
L |
2.2047256657901 |
L(r)(E,1)/r! |
Ω |
0.27559070731089 |
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 |
34200co2 22800c2 13680j2 |
Quadratic twists by: -4 -3 5 |