Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900bd |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
28471058000 = 24 · 53 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980,-8575] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:55:1] [-10:15:1] |
Generators of the group modulo torsion |
j |
442368/121 |
j-invariant |
L |
9.3307490171834 |
L(r)(E,1)/r! |
Ω |
0.87081972403237 |
Real period |
R |
1.7858171941667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53900bc1 1100e1 |
Quadratic twists by: 5 -7 |