Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206u |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-16137665536 = -1 · 210 · 232 · 313 |
Discriminant |
Eigenvalues |
2- -2 -2 0 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11,-6111] |
[a1,a2,a3,a4,a6] |
Generators |
[20:37:1] [34:-201:1] |
Generators of the group modulo torsion |
j |
4913/541696 |
j-invariant |
L |
8.4048212634892 |
L(r)(E,1)/r! |
Ω |
0.56989514177201 |
Real period |
R |
1.474801353343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44206o1 |
Quadratic twists by: -31 |