Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880n |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7427848766464000 = -1 · 213 · 53 · 72 · 236 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7056,4155200] |
[a1,a2,a3,a4,a6] |
Generators |
[1274:45402:1] |
Generators of the group modulo torsion |
j |
-9486391169809/1813439640250 |
j-invariant |
L |
6.0292449201962 |
L(r)(E,1)/r! |
Ω |
0.34116346335823 |
Real period |
R |
2.9454330879239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1610d4 51520cc4 115920dx4 64400bt4 |
Quadratic twists by: -4 8 -3 5 |