Atkin-Lehner |
5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5525g |
Isogeny class |
Conductor |
5525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
93925 = 52 · 13 · 172 |
Discriminant |
Eigenvalues |
0 -3 5+ 0 0 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40,96] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
283115520/3757 |
j-invariant |
L |
1.7081679363709 |
L(r)(E,1)/r! |
Ω |
3.3927160785219 |
Real period |
R |
0.25174047825351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400bu1 49725l1 5525h1 71825l1 |
Quadratic twists by: -4 -3 5 13 |