Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cu |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-9.9485589830613E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8833229,46913424851] |
[a1,a2,a3,a4,a6] |
Generators |
[-986:1712995:8] |
Generators of the group modulo torsion |
j |
269837172664860479/3521922369581250 |
j-invariant |
L |
10.17336333132 |
L(r)(E,1)/r! |
Ω |
0.065000908487144 |
Real period |
R |
3.4780243223917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570bw1 |
Quadratic twists by: -7 |