Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244bb |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-6724879841946809088 = -1 · 28 · 317 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251040,133830772] |
[a1,a2,a3,a4,a6] |
Generators |
[269:9261:1] |
Generators of the group modulo torsion |
j |
-9375296192512000/36034378439787 |
j-invariant |
L |
6.3877867144288 |
L(r)(E,1)/r! |
Ω |
0.20693621465165 |
Real period |
R |
2.204884632518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748q1 |
Quadratic twists by: -3 |