Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664g |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
1395264 = 26 · 3 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34,64] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [0:8:1] |
Generators of the group modulo torsion |
j |
69934528/21801 |
j-invariant |
L |
6.6498892752385 |
L(r)(E,1)/r! |
Ω |
2.4997534547638 |
Real period |
R |
2.6602180557325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664e1 107328be1 |
Quadratic twists by: -4 8 |