Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330n |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-5.5828300722969E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16006545,116325872221] |
[a1,a2,a3,a4,a6] |
j |
-107920681386000721/1328441886720000 |
j-invariant |
L |
1.5506238890709 |
L(r)(E,1)/r! |
Ω |
0.064609328909644 |
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 |
19110bw1 57330cq1 |
Quadratic twists by: -3 -7 |