Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730c |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
71825000 = 23 · 55 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 1 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-393,2813] |
[a1,a2,a3,a4,a6] |
Generators |
[17:29:1] |
Generators of the group modulo torsion |
j |
39878626801/425000 |
j-invariant |
L |
5.2532825945774 |
L(r)(E,1)/r! |
Ω |
1.9531334092171 |
Real period |
R |
2.6896691080017 |
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 |
28730z1 |
Quadratic twists by: 13 |