Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514n |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
166842071858 = 2 · 72 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63164,-6136522] |
[a1,a2,a3,a4,a6] |
Generators |
[18369570:431496337:27000] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
7.5563591722121 |
L(r)(E,1)/r! |
Ω |
0.30114898876903 |
Real period |
R |
12.545881696504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
434c2 |
Quadratic twists by: -11 |