Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052c |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.3565807569224E+20 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1455372,-297539228] |
[a1,a2,a3,a4,a6] |
Generators |
[6491:-531674:1] |
Generators of the group modulo torsion |
j |
275895984926000/190713856333 |
j-invariant |
L |
4.2388524959318 |
L(r)(E,1)/r! |
Ω |
0.099621820725401 |
Real period |
R |
1.1819288365429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4004b4 |
Quadratic twists by: 13 |