Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664c |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
263238607879483392 = 212 · 314 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-386129,-88863327] |
[a1,a2,a3,a4,a6] |
Generators |
[-3474833152:-17708145561:10218313] |
Generators of the group modulo torsion |
j |
1554397717144267072/64267238251827 |
j-invariant |
L |
4.8978293026399 |
L(r)(E,1)/r! |
Ω |
0.19200966134955 |
Real period |
R |
12.754122027808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664n2 107328bd1 |
Quadratic twists by: -4 8 |