Atkin-Lehner |
3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5607c |
Isogeny class |
Conductor |
5607 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-9537507 = -1 · 37 · 72 · 89 |
Discriminant |
Eigenvalues |
2 3- 2 7+ -2 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,51,49] |
[a1,a2,a3,a4,a6] |
Generators |
[2:59:8] |
Generators of the group modulo torsion |
j |
20123648/13083 |
j-invariant |
L |
7.8624541034647 |
L(r)(E,1)/r! |
Ω |
1.4380719066625 |
Real period |
R |
1.3668395278147 |
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 |
89712bf1 1869a1 39249k1 |
Quadratic twists by: -4 -3 -7 |