Atkin-Lehner |
3+ 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681a |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72320 |
Modular degree for the optimal curve |
Δ |
-14452724403 = -1 · 33 · 13 · 175 · 29 |
Discriminant |
Eigenvalues |
2 3+ 0 1 -5 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7305,240383] |
[a1,a2,a3,a4,a6] |
j |
-1596690012672000/535286089 |
j-invariant |
L |
2.4506095010675 |
L(r)(E,1)/r! |
Ω |
1.2253047514286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57681b1 |
Quadratic twists by: -3 |