Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360f |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13718968384000000 = -1 · 212 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,57919,-1704881] |
[a1,a2,a3,a4,a6] |
j |
2961169856/1890625 |
j-invariant |
L |
0.91047520795834 |
L(r)(E,1)/r! |
Ω |
0.22761880198959 |
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 |
19360t2 38720bn1 96800bx2 1760i2 |
Quadratic twists by: -4 8 5 -11 |