Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810f |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.6356530438077E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41374065,102443166675] |
[a1,a2,a3,a4,a6] |
Generators |
[240724:198551:64] |
Generators of the group modulo torsion |
j |
290097863997764386055874507/976167794002843750 |
j-invariant |
L |
5.4804338864185 |
L(r)(E,1)/r! |
Ω |
0.18483814134128 |
Real period |
R |
7.4124770347047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545646 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810cv4 |
Quadratic twists by: -3 |