Atkin-Lehner |
2- 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82584j |
Isogeny class |
Conductor |
82584 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-205709476608 = -1 · 28 · 36 · 313 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -4 3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1113,16490] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-558:1] [34:306:1] |
Generators of the group modulo torsion |
j |
817036976/1102267 |
j-invariant |
L |
8.5767087235401 |
L(r)(E,1)/r! |
Ω |
0.67564444443738 |
Real period |
R |
0.52892148588347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9176a1 |
Quadratic twists by: -3 |