Atkin-Lehner |
2- 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820m |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-1.326058439407E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5445408,5195289193] |
[a1,a2,a3,a4,a6] |
Generators |
[3914:209385:1] |
Generators of the group modulo torsion |
j |
-1530972804995388276736/113688137809246275 |
j-invariant |
L |
7.8151777129156 |
L(r)(E,1)/r! |
Ω |
0.14974578641298 |
Real period |
R |
4.3491361432025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605179 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38940m3 |
Quadratic twists by: -3 |