Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206d |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5355935614216592 = -1 · 24 · 233 · 317 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,42745,-892091] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1877:1] [555:13657:1] |
Generators of the group modulo torsion |
j |
9731810375/6034832 |
j-invariant |
L |
5.6169247893217 |
L(r)(E,1)/r! |
Ω |
0.24777746242768 |
Real period |
R |
2.8336540046295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1426c1 |
Quadratic twists by: -31 |