Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514r |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
310409007323521568 = 25 · 72 · 118 · 314 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2481773,-1504811087] |
[a1,a2,a3,a4,a6] |
Generators |
[-916:815:1] |
Generators of the group modulo torsion |
j |
954231564802587625/175217792288 |
j-invariant |
L |
4.6838723806354 |
L(r)(E,1)/r! |
Ω |
0.12028565161887 |
Real period |
R |
3.8939576895732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774c2 |
Quadratic twists by: -11 |