Atkin-Lehner |
2- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5456g |
Isogeny class |
Conductor |
5456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-88607322800128 = -1 · 231 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 3 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5749,420666] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:146:1] |
Generators of the group modulo torsion |
j |
5130275528223/21632647168 |
j-invariant |
L |
3.5064501065739 |
L(r)(E,1)/r! |
Ω |
0.43186540783261 |
Real period |
R |
4.0596561370493 |
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 |
682b1 21824w1 49104bt1 60016o1 |
Quadratic twists by: -4 8 -3 -11 |