Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520ce |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
51701350400 = 218 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10412,408784] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:640:1] [13:525:1] |
Generators of the group modulo torsion |
j |
476196576129/197225 |
j-invariant |
L |
10.135483553534 |
L(r)(E,1)/r! |
Ω |
1.1055195123153 |
Real period |
R |
1.5280121608928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520y1 12880p1 |
Quadratic twists by: -4 8 |