Atkin-Lehner |
2+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872q |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2744847171584 = -1 · 218 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 4 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1759,75071] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:224:1] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
6.7386668951659 |
L(r)(E,1)/r! |
Ω |
0.57860572098352 |
Real period |
R |
0.48526617887785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872bb1 623a1 |
Quadratic twists by: -4 8 |