Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4160d |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
1064960 = 214 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,336] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] |
Generators of the group modulo torsion |
j |
5256144/65 |
j-invariant |
L |
3.8252674739274 |
L(r)(E,1)/r! |
Ω |
2.7722949362329 |
Real period |
R |
1.3798198106314 |
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 |
4160o1 520a1 37440bm1 20800a1 |
Quadratic twists by: -4 8 -3 5 |