Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330di |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-2030567677931520 = -1 · 212 · 33 · 5 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-256157,-49883739] |
[a1,a2,a3,a4,a6] |
j |
-243723071907/266240 |
j-invariant |
L |
2.5463959246357 |
L(r)(E,1)/r! |
Ω |
0.10609983022789 |
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 |
57330d2 57330db1 |
Quadratic twists by: -3 -7 |