Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720l |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-747927425806499840 = -1 · 219 · 5 · 1111 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45999521,120066720959] |
[a1,a2,a3,a4,a6] |
j |
-23178622194826561/1610510 |
j-invariant |
L |
0.86321813457119 |
L(r)(E,1)/r! |
Ω |
0.21580453364984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720cc2 1210g2 3520b2 |
Quadratic twists by: -4 8 -11 |