Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300c |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
67868000000 = 28 · 56 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6108,-181288] |
[a1,a2,a3,a4,a6] |
Generators |
[2514:5950:27] |
Generators of the group modulo torsion |
j |
6301325392/16967 |
j-invariant |
L |
7.4373658895879 |
L(r)(E,1)/r! |
Ω |
0.54011862764639 |
Real period |
R |
4.5899582733371 |
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 |
3572a2 |
Quadratic twists by: 5 |