Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44080f |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
11020000000 = 28 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:505:8] |
Generators of the group modulo torsion |
j |
74385620944/43046875 |
j-invariant |
L |
5.2141351560823 |
L(r)(E,1)/r! |
Ω |
1.0793769733568 |
Real period |
R |
4.8306896337208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020c1 |
Quadratic twists by: -4 |