Atkin-Lehner |
2+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120f |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1057100000000000000 = 214 · 514 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329681,53603825] |
[a1,a2,a3,a4,a6] |
j |
241872696679049296/64520263671875 |
j-invariant |
L |
1.0329126903277 |
L(r)(E,1)/r! |
Ω |
0.2582282308845 |
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 |
109120bb2 6820c2 |
Quadratic twists by: -4 8 |