Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71920n |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1392019539968000 = 214 · 53 · 294 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33976,1597524] |
[a1,a2,a3,a4,a6] |
Generators |
[22:928:1] |
Generators of the group modulo torsion |
j |
1058993490188089/339848520500 |
j-invariant |
L |
3.3219093402797 |
L(r)(E,1)/r! |
Ω |
0.44376443163573 |
Real period |
R |
0.93571867876236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8990b2 |
Quadratic twists by: -4 |