Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514bb |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
684 |
Product of Tamagawa factors cp |
deg |
3020544 |
Modular degree for the optimal curve |
Δ |
-2.3642011453724E+21 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17917479,-29287053751] |
[a1,a2,a3,a4,a6] |
Generators |
[28534:4749317:1] |
Generators of the group modulo torsion |
j |
-5257376211497774656898617/19538852441094619136 |
j-invariant |
L |
9.4566481126176 |
L(r)(E,1)/r! |
Ω |
0.036682060048642 |
Real period |
R |
0.37690110419578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52514d1 |
Quadratic twists by: -11 |