Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
22720q |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
232652800 = 217 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -6 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,-464] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] [-8:20:1] |
Generators of the group modulo torsion |
j |
4293378/1775 |
j-invariant |
L |
5.2117275598574 |
L(r)(E,1)/r! |
Ω |
1.3672656817992 |
Real period |
R |
0.47647355861738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22720bl1 2840d1 113600r1 |
Quadratic twists by: -4 8 5 |