Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530w |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
1.0594452778726E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-731440,182831600] |
[a1,a2,a3,a4,a6] |
Generators |
[-778:17156:1] |
Generators of the group modulo torsion |
j |
43277271250573897378561/10594452778726410000 |
j-invariant |
L |
8.7519375533344 |
L(r)(E,1)/r! |
Ω |
0.21408931994695 |
Real period |
R |
2.5549901191658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
108240bl2 40590o2 67650h2 |
Quadratic twists by: -4 -3 5 |