Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037o |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-636549355584128259 = -1 · 37 · 711 · 133 · 67 |
Discriminant |
Eigenvalues |
2 3- 2 7- -4 13- -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-514222,-147200819] |
[a1,a2,a3,a4,a6] |
Generators |
[7450:108041:8] |
Generators of the group modulo torsion |
j |
-127816898787684352/5410580247891 |
j-invariant |
L |
19.76060020916 |
L(r)(E,1)/r! |
Ω |
0.088921587108349 |
Real period |
R |
2.6455357826961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291b1 |
Quadratic twists by: -7 |