Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800b |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2023195887000000 = -1 · 26 · 316 · 56 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108958,-13975088] |
[a1,a2,a3,a4,a6] |
Generators |
[124444348078873973:-2850553265727419154:175870138491683] |
Generators of the group modulo torsion |
j |
-143055667000000/2023195887 |
j-invariant |
L |
6.3730428500581 |
L(r)(E,1)/r! |
Ω |
0.13127716077878 |
Real period |
R |
24.273235446977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800w1 4512q1 |
Quadratic twists by: -4 5 |