Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272l |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
145728 |
Modular degree for the optimal curve |
Δ |
835521619968 = 211 · 311 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 7 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4216,-97168] |
[a1,a2,a3,a4,a6] |
j |
82604269202/8325909 |
j-invariant |
L |
6.5594988874806 |
L(r)(E,1)/r! |
Ω |
0.59631808082744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544o1 55272c1 |
Quadratic twists by: -4 -7 |