Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300c |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56064 |
Modular degree for the optimal curve |
Δ |
-10492750000 = -1 · 24 · 56 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-5038] |
[a1,a2,a3,a4,a6] |
Generators |
[67:525:1] |
Generators of the group modulo torsion |
j |
-5619712/41971 |
j-invariant |
L |
7.4373658895879 |
L(r)(E,1)/r! |
Ω |
0.54011862764639 |
Real period |
R |
2.2949791366686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3572a1 |
Quadratic twists by: 5 |