Atkin-Lehner |
2+ 3- 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934z |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-1.1290791605127E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7886952,9942675264] |
[a1,a2,a3,a4,a6] |
Generators |
[13710:298551:8] |
Generators of the group modulo torsion |
j |
-74425850790576178218625/15488054328021030912 |
j-invariant |
L |
6.0265806339125 |
L(r)(E,1)/r! |
Ω |
0.12216029396746 |
Real period |
R |
4.111115212968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000196644 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42978y2 |
Quadratic twists by: -3 |