Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14760g |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2450898000 = 24 · 36 · 53 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498,3553] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:41:1] |
Generators of the group modulo torsion |
j |
1171019776/210125 |
j-invariant |
L |
3.882505683536 |
L(r)(E,1)/r! |
Ω |
1.379759576255 |
Real period |
R |
1.4069500767931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520l1 118080cu1 1640f1 73800cj1 |
Quadratic twists by: -4 8 -3 5 |