Atkin-Lehner |
3- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675w |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
71045933765625 = 32 · 56 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11551,-253627] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:2063:8] |
Generators of the group modulo torsion |
j |
10907077259233/4546939761 |
j-invariant |
L |
9.4727267184008 |
L(r)(E,1)/r! |
Ω |
0.47786083578173 |
Real period |
R |
2.4778988454579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000224028 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187b2 |
Quadratic twists by: 5 |