Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160d |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1038336 |
Modular degree for the optimal curve |
Δ |
-4484574720000 = -1 · 212 · 39 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2250072,-1299100464] |
[a1,a2,a3,a4,a6] |
Generators |
[419586:96052095:8] |
Generators of the group modulo torsion |
j |
-15626500048000512/55625 |
j-invariant |
L |
9.2848014820349 |
L(r)(E,1)/r! |
Ω |
0.061634014342828 |
Real period |
R |
9.415257159208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999962694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160f1 128160v1 |
Quadratic twists by: -4 -3 |