Atkin-Lehner |
7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4361a |
Isogeny class |
Conductor |
4361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1231874560889 = -1 · 712 · 89 |
Discriminant |
Eigenvalues |
1 1 -1 7- -4 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1346,-49787] |
[a1,a2,a3,a4,a6] |
j |
2294744759/10470761 |
j-invariant |
L |
1.742040734949 |
L(r)(E,1)/r! |
Ω |
0.43551018373726 |
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 |
69776o1 39249n1 109025g1 623a1 |
Quadratic twists by: -4 -3 5 -7 |