Atkin-Lehner |
3+ 13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57681b |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
216960 |
Modular degree for the optimal curve |
Δ |
-10536036089787 = -1 · 39 · 13 · 175 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 0 1 5 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-65745,-6490348] |
[a1,a2,a3,a4,a6] |
j |
-1596690012672000/535286089 |
j-invariant |
L |
1.4907167840353 |
L(r)(E,1)/r! |
Ω |
0.14907167889966 |
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 |
57681a1 |
Quadratic twists by: -3 |