Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400bw |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
323584000000 = 218 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -2 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,-66337] |
[a1,a2,a3,a4,a6] |
Generators |
[-10969:25136:343] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
8.7071386611606 |
L(r)(E,1)/r! |
Ω |
0.63661568850662 |
Real period |
R |
6.8386145746796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400e1 31600n1 5056t1 |
Quadratic twists by: -4 8 5 |