Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450p |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-94931877133000 = -1 · 23 · 53 · 377 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -3 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13262,755196] |
[a1,a2,a3,a4,a6] |
j |
-804357/296 |
j-invariant |
L |
2.2618849269603 |
L(r)(E,1)/r! |
Ω |
0.5654712313554 |
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 |
68450bh1 1850n1 |
Quadratic twists by: 5 37 |