Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ez |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
2229919146000 = 24 · 36 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14342,660741] |
[a1,a2,a3,a4,a6] |
Generators |
[51:219:1] |
Generators of the group modulo torsion |
j |
3803721481/26000 |
j-invariant |
L |
11.047385047537 |
L(r)(E,1)/r! |
Ω |
0.82578646841165 |
Real period |
R |
0.55741735657103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370c1 1170l1 |
Quadratic twists by: -3 -7 |