Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400f |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7924672000000 = 212 · 56 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45100,-3684000] |
[a1,a2,a3,a4,a6] |
j |
158516094528/123823 |
j-invariant |
L |
1.3104958896138 |
L(r)(E,1)/r! |
Ω |
0.32762405699857 |
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 |
106400bw2 4256b2 |
Quadratic twists by: -4 5 |