Atkin-Lehner |
3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5607a |
Isogeny class |
Conductor |
5607 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-13852816803 = -1 · 33 · 78 · 89 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ -6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6,-5663] |
[a1,a2,a3,a4,a6] |
Generators |
[235:3601:1] |
Generators of the group modulo torsion |
j |
-884736/513067289 |
j-invariant |
L |
2.4461315186626 |
L(r)(E,1)/r! |
Ω |
0.57414154299224 |
Real period |
R |
1.0651256421518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89712l1 5607b1 39249b1 |
Quadratic twists by: -4 -3 -7 |