Atkin-Lehner |
5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5525k |
Isogeny class |
Conductor |
5525 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
396833125 = 54 · 133 · 172 |
Discriminant |
Eigenvalues |
-2 -1 5- -2 -4 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,718] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:32:1] [-8:42:1] |
Generators of the group modulo torsion |
j |
1600000000/634933 |
j-invariant |
L |
2.2658562634081 |
L(r)(E,1)/r! |
Ω |
1.5329876727095 |
Real period |
R |
0.082114752625601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400ce1 49725x1 5525a1 71825r1 |
Quadratic twists by: -4 -3 5 13 |