Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360a |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5591168000 = 210 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2736,54064] |
[a1,a2,a3,a4,a6] |
Generators |
[12:152:1] |
Generators of the group modulo torsion |
j |
2212741893316/5460125 |
j-invariant |
L |
2.7749424407127 |
L(r)(E,1)/r! |
Ω |
1.3565400755678 |
Real period |
R |
1.0228014972396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720k2 66880bu2 75240bn2 41800o2 |
Quadratic twists by: -4 8 -3 5 |