Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560g |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1262063462400 = 211 · 38 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324604803,2251026075998] |
[a1,a2,a3,a4,a6] |
Generators |
[9790279282:33613:941192] |
Generators of the group modulo torsion |
j |
2533559197411478296569602/845325 |
j-invariant |
L |
4.9607605389421 |
L(r)(E,1)/r! |
Ω |
0.24083589692173 |
Real period |
R |
10.299047202459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520s6 |
Quadratic twists by: -3 |