Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4018n |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
2594252686816 = 25 · 711 · 41 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8576,-296416] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:124:1] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
5.6440134138649 |
L(r)(E,1)/r! |
Ω |
0.49724548723105 |
Real period |
R |
1.1350557337974 |
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 |
32144s1 128576r1 36162bc1 100450j1 |
Quadratic twists by: -4 8 -3 5 |