Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4557j |
Isogeny class |
Conductor |
4557 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
3322053 = 37 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3- 2 7- 1 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-37,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
117440512/67797 |
j-invariant |
L |
4.1154419729232 |
L(r)(E,1)/r! |
Ω |
2.1080317823517 |
Real period |
R |
0.2788953595331 |
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 |
72912br1 13671i1 113925i1 4557a1 |
Quadratic twists by: -4 -3 5 -7 |