Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21736f |
Isogeny class |
Conductor |
21736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
9042176 = 28 · 11 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -2 2 4 11- 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
61918288/35321 |
j-invariant |
L |
4.881700462428 |
L(r)(E,1)/r! |
Ω |
1.9825717200961 |
Real period |
R |
1.2311535600314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43472e1 |
Quadratic twists by: -4 |