Atkin-Lehner |
3- 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755c |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.3440267949715E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1901655,-993352734] |
[a1,a2,a3,a4,a6] |
Generators |
[54950:4426557:8] |
Generators of the group modulo torsion |
j |
1043257465535888519281/18436581549677655 |
j-invariant |
L |
5.3181242053118 |
L(r)(E,1)/r! |
Ω |
0.12870112576993 |
Real period |
R |
10.330376103526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000516797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585k3 |
Quadratic twists by: -3 |