Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720i |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-447293440 = -1 · 211 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,144,820] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:26:1] [6:44:1] |
Generators of the group modulo torsion |
j |
160125982/218405 |
j-invariant |
L |
4.946682377136 |
L(r)(E,1)/r! |
Ω |
1.1270245405411 |
Real period |
R |
1.0972880800718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360j2 66880dk2 83600k2 |
Quadratic twists by: -4 8 5 |