Atkin-Lehner |
5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5525f |
Isogeny class |
Conductor |
5525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
27144325 = 52 · 13 · 174 |
Discriminant |
Eigenvalues |
-2 3 5+ 2 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-235,-1364] |
[a1,a2,a3,a4,a6] |
j |
57409966080/1085773 |
j-invariant |
L |
2.4415263289405 |
L(r)(E,1)/r! |
Ω |
1.2207631644703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400bn1 49725t1 5525i1 71825i1 |
Quadratic twists by: -4 -3 5 13 |