Atkin-Lehner |
2+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514d |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33225984 |
Modular degree for the optimal curve |
Δ |
-4.1883265452972E+27 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 11- 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2168014962,38978900527620] |
[a1,a2,a3,a4,a6] |
Generators |
[690990:177842005:8] |
Generators of the group modulo torsion |
j |
-5257376211497774656898617/19538852441094619136 |
j-invariant |
L |
3.6572548416601 |
L(r)(E,1)/r! |
Ω |
0.044025919252321 |
Real period |
R |
6.9225411297923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52514bb1 |
Quadratic twists by: -11 |