Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200c |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-110901745609200 = -1 · 24 · 314 · 52 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7288,-557993] |
[a1,a2,a3,a4,a6] |
Generators |
[147656:2359773:512] |
Generators of the group modulo torsion |
j |
-107040567189760/277254364023 |
j-invariant |
L |
4.693598717877 |
L(r)(E,1)/r! |
Ω |
0.24029396711072 |
Real period |
R |
4.8831840867634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600y1 109200cn1 |
Quadratic twists by: -4 5 |