Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9922b |
Isogeny class |
Conductor |
9922 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-650048451245644 = -1 · 22 · 119 · 413 |
Discriminant |
Eigenvalues |
2+ -2 3 -5 11- -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9193,-1178058] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4818:1] |
Generators of the group modulo torsion |
j |
48507321023/366935404 |
j-invariant |
L |
2.0176327129318 |
L(r)(E,1)/r! |
Ω |
0.25442921843203 |
Real period |
R |
0.6608362846341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376w2 89298cg2 902b2 |
Quadratic twists by: -4 -3 -11 |