Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bj |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
71400000000 = 29 · 3 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4016,-95784] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:26:1] |
Generators of the group modulo torsion |
j |
13994036429192/139453125 |
j-invariant |
L |
3.8413399328392 |
L(r)(E,1)/r! |
Ω |
0.60007210747565 |
Real period |
R |
3.2007319494468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120ce3 114240ke3 |
Quadratic twists by: -4 8 |