Atkin-Lehner |
2+ 5+ 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116150a |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28546560 |
Modular degree for the optimal curve |
Δ |
-6.2439644919759E+23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 3 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36300667,92377884241] |
[a1,a2,a3,a4,a6] |
Generators |
[173478:9434461:27] |
Generators of the group modulo torsion |
j |
-338569247105718043639041/39961372748645937500 |
j-invariant |
L |
3.22444512377 |
L(r)(E,1)/r! |
Ω |
0.08875114460839 |
Real period |
R |
9.0828268287836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23230l1 |
Quadratic twists by: 5 |