Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4420a |
Isogeny class |
Conductor |
4420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
373490000 = 24 · 54 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12441,529984] |
[a1,a2,a3,a4,a6] |
Generators |
[0:728:1] |
Generators of the group modulo torsion |
j |
13310810713145344/23343125 |
j-invariant |
L |
1.9669407119631 |
L(r)(E,1)/r! |
Ω |
1.4505298530975 |
Real period |
R |
2.7120306524721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17680i1 70720m1 39780bb1 22100e1 |
Quadratic twists by: -4 8 -3 5 |