Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642bc |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
1.23387351231E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1262094,-111038901] |
[a1,a2,a3,a4,a6] |
j |
1889777177808124753/1048775180673024 |
j-invariant |
L |
3.9694657386223 |
L(r)(E,1)/r! |
Ω |
0.15267175917778 |
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 |
101136cp1 37926ba1 1806n1 |
Quadratic twists by: -4 -3 -7 |