Atkin-Lehner |
2+ 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670r |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
117012695126400 = 27 · 39 · 52 · 292 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164610,-25659500] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:185:1] [3790:10795:8] |
Generators of the group modulo torsion |
j |
676653468930300961/160511241600 |
j-invariant |
L |
8.7147015566377 |
L(r)(E,1)/r! |
Ω |
0.23702358328576 |
Real period |
R |
4.5959042490815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000009402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890y2 |
Quadratic twists by: -3 |