Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496l |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
2114076672 = 214 · 37 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,-2702] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:22:1] |
Generators of the group modulo torsion |
j |
3048625/708 |
j-invariant |
L |
4.6114785450561 |
L(r)(E,1)/r! |
Ω |
1.0628893361992 |
Real period |
R |
2.1693126405551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1062c1 33984bq1 2832d1 |
Quadratic twists by: -4 8 -3 |