Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bk |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
8.6289882321478E+24 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68596742,-166897316529] |
[a1,a2,a3,a4,a6] |
Generators |
[80086:3055777:8] |
Generators of the group modulo torsion |
j |
303421219916435677303129/73345189777625390625 |
j-invariant |
L |
8.4085480929269 |
L(r)(E,1)/r! |
Ω |
0.053382064388571 |
Real period |
R |
3.2815906963697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668204 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015i2 |
Quadratic twists by: -7 |