Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880y |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10617241600 = 214 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8587,306234] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:720:1] |
Generators of the group modulo torsion |
j |
17095749786081/2592100 |
j-invariant |
L |
5.0755049061314 |
L(r)(E,1)/r! |
Ω |
1.2394002701305 |
Real period |
R |
2.047564870063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1610f2 51520bv2 115920do2 64400bc2 |
Quadratic twists by: -4 8 -3 5 |