Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cg |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.108547956139E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-257994,-2209786650] |
[a1,a2,a3,a4,a6] |
j |
-22143063655441/24584858584650 |
j-invariant |
L |
2.1198938143014 |
L(r)(E,1)/r! |
Ω |
0.066246681792397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110co6 8190k6 |
Quadratic twists by: -3 -7 |