Atkin-Lehner |
2- 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272k |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-286408372224 = -1 · 212 · 3 · 133 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1648,0] |
[a1,a2,a3,a4,a6] |
j |
120773549807/69923919 |
j-invariant |
L |
1.1672841541415 |
L(r)(E,1)/r! |
Ω |
0.58364207709221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4017c1 |
Quadratic twists by: -4 |