Atkin-Lehner |
5+ 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
120175i |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-475066796875 = -1 · 58 · 112 · 19 · 232 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 11- 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1874,-10977] |
[a1,a2,a3,a4,a6] |
Generators |
[7:46:1] |
Generators of the group modulo torsion |
j |
46617130799/30404275 |
j-invariant |
L |
4.697584041674 |
L(r)(E,1)/r! |
Ω |
0.53350323088435 |
Real period |
R |
2.2012912930087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999444887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24035f2 |
Quadratic twists by: 5 |