Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550x |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4343040 |
Modular degree for the optimal curve |
Δ |
-4.826581200576E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-616876,382705898] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:23846:1] |
Generators of the group modulo torsion |
j |
-1661484507997633201/3089011968368640 |
j-invariant |
L |
5.1769404400721 |
L(r)(E,1)/r! |
Ω |
0.1794197624676 |
Real period |
R |
4.8089653030398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999338492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510o1 |
Quadratic twists by: 5 |