Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660d |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-691741451520 = -1 · 28 · 38 · 5 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,-59218] |
[a1,a2,a3,a4,a6] |
j |
-7622072656/3706605 |
j-invariant |
L |
1.3413258332703 |
L(r)(E,1)/r! |
Ω |
0.33533145829958 |
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 |
17220d2 |
Quadratic twists by: -3 |