Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810du |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
Δ |
3.8154338694601E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2646968,1631369531] |
[a1,a2,a3,a4,a6] |
Generators |
[-1203:56041:1] |
Generators of the group modulo torsion |
j |
2813468797630571444281/52337913161318400 |
j-invariant |
L |
9.9956708491316 |
L(r)(E,1)/r! |
Ω |
0.20515406967949 |
Real period |
R |
0.67670488606174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032121 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270bo3 |
Quadratic twists by: -3 |