Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57112d |
Isogeny class |
Conductor |
57112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-26757657344 = -1 · 28 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -1 -1 11- 2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,-7148] |
[a1,a2,a3,a4,a6] |
Generators |
[37:242:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
3.7627405482828 |
L(r)(E,1)/r! |
Ω |
0.61029705317018 |
Real period |
R |
1.5413561841784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224a1 472e1 |
Quadratic twists by: -4 -11 |