Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528w |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
14125409536 = 28 · 77 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 4 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,176] |
[a1,a2,a3,a4,a6] |
Generators |
[40:196:1] |
Generators of the group modulo torsion |
j |
810448/469 |
j-invariant |
L |
6.6823516094519 |
L(r)(E,1)/r! |
Ω |
1.0570585847428 |
Real period |
R |
0.79020591974866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26264r1 7504m1 |
Quadratic twists by: -4 -7 |