Atkin-Lehner |
5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005q |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-22905463311875 = -1 · 54 · 197 · 41 |
Discriminant |
Eigenvalues |
2 -1 5- -2 2 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7100,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:34291:8] |
Generators of the group modulo torsion |
j |
841232384/486875 |
j-invariant |
L |
9.5182182231023 |
L(r)(E,1)/r! |
Ω |
0.4045095903273 |
Real period |
R |
2.9412832381689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895e1 |
Quadratic twists by: -19 |