Atkin-Lehner |
3+ 13+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82251b |
Isogeny class |
Conductor |
82251 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
179882937 = 39 · 13 · 19 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -4 4 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5132,-140210] |
[a1,a2,a3,a4,a6] |
j |
759299343867/9139 |
j-invariant |
L |
1.1281447594379 |
L(r)(E,1)/r! |
Ω |
0.56407235796614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82251a1 |
Quadratic twists by: -3 |