Atkin-Lehner |
3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13083b |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
-1802588823 = -1 · 310 · 73 · 89 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-554,-5650] |
[a1,a2,a3,a4,a6] |
j |
-54828691399/5255361 |
j-invariant |
L |
0.48936110631616 |
L(r)(E,1)/r! |
Ω |
0.48936110631616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39249m1 13083h1 |
Quadratic twists by: -3 -7 |