Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4418c |
Isogeny class |
Conductor |
4418 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-2262016 = -1 · 210 · 472 |
Discriminant |
Eigenvalues |
2- 0 -3 0 4 1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109,469] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-8:1] |
Generators of the group modulo torsion |
j |
-64278657/1024 |
j-invariant |
L |
4.5816192726652 |
L(r)(E,1)/r! |
Ω |
2.6000378366328 |
Real period |
R |
0.17621356151489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35344c1 39762m1 110450b1 4418b1 |
Quadratic twists by: -4 -3 5 -47 |