Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200b |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-1049616750000 = -1 · 24 · 3 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183,49362] |
[a1,a2,a3,a4,a6] |
Generators |
[26:248:1] |
Generators of the group modulo torsion |
j |
-2725888/4198467 |
j-invariant |
L |
5.8420973334953 |
L(r)(E,1)/r! |
Ω |
0.70440686203427 |
Real period |
R |
4.1468202946706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600x1 4368m1 |
Quadratic twists by: -4 5 |