Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bj |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
-9.5546975672352E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-543720,4705621598] |
[a1,a2,a3,a4,a6] |
j |
-151099210615066624/81213589297275435 |
j-invariant |
L |
1.2577034737829 |
L(r)(E,1)/r! |
Ω |
0.1048086264923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015p1 |
Quadratic twists by: -7 |