Atkin-Lehner |
3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17355c |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
260325 = 32 · 52 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-125,581] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:32:1] [5:7:1] |
Generators of the group modulo torsion |
j |
217732612096/260325 |
j-invariant |
L |
5.4822555120572 |
L(r)(E,1)/r! |
Ω |
3.0968477049616 |
Real period |
R |
0.44256741325011 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52065f1 86775s1 |
Quadratic twists by: -3 5 |