Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592j |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
2351104 = 213 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- 0 2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,52] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
1771561/574 |
j-invariant |
L |
4.6414887117335 |
L(r)(E,1)/r! |
Ω |
2.3872840157788 |
Real period |
R |
0.48606373194972 |
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 |
574a1 18368z1 41328ch1 114800bc1 |
Quadratic twists by: -4 8 -3 5 |