Atkin-Lehner |
3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63189g |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
5.996080588421E+20 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3040056,-1664890605] |
[a1,a2,a3,a4,a6] |
j |
4262270568826096907137/822507625297806777 |
j-invariant |
L |
2.0856413543696 |
L(r)(E,1)/r! |
Ω |
0.11586896386315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21063b1 |
Quadratic twists by: -3 |