Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565i |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13120 |
Modular degree for the optimal curve |
Δ |
-5658675 = -1 · 3 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-595,-5394] |
[a1,a2,a3,a4,a6] |
Generators |
[32:85:1] |
Generators of the group modulo torsion |
j |
-3402072064/825 |
j-invariant |
L |
4.5446267658137 |
L(r)(E,1)/r! |
Ω |
0.48325147809998 |
Real period |
R |
2.3510671833868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59565s1 |
Quadratic twists by: -19 |