Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
44890k |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2369664 |
Modular degree for the optimal curve |
Δ |
-2.3674654708293E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 5 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2353078,2722803581] |
[a1,a2,a3,a4,a6] |
Generators |
[50627:11360791:1] |
Generators of the group modulo torsion |
j |
-15928823248281/26171875000 |
j-invariant |
L |
8.1126405461622 |
L(r)(E,1)/r! |
Ω |
0.13022169165694 |
Real period |
R |
10.383114675368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
670a1 |
Quadratic twists by: -67 |