Atkin-Lehner |
2+ 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82584b |
Isogeny class |
Conductor |
82584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-40095688176 = -1 · 24 · 310 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 0 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2739,-56009] |
[a1,a2,a3,a4,a6] |
j |
-194828415232/3437559 |
j-invariant |
L |
2.6369799873361 |
L(r)(E,1)/r! |
Ω |
0.32962249244704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27528f1 |
Quadratic twists by: -3 |