Atkin-Lehner |
2+ 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040f |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
53045200 = 24 · 52 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142,-549] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [1746:25755:8] |
Generators of the group modulo torsion |
j |
19791046656/3315325 |
j-invariant |
L |
11.103589976527 |
L(r)(E,1)/r! |
Ω |
1.3987718473888 |
Real period |
R |
7.9380994102767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52520i1 |
Quadratic twists by: -4 |