Atkin-Lehner |
2- 3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224m |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
5301504 = 28 · 33 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204,-1116] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2:1] |
Generators of the group modulo torsion |
j |
135834624/767 |
j-invariant |
L |
4.427566939684 |
L(r)(E,1)/r! |
Ω |
1.2636874664574 |
Real period |
R |
0.87592206481446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448f1 55224c1 |
Quadratic twists by: -4 -3 |