Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166bk |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
23995367424 = 214 · 36 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,-2919] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:60:1] |
Generators of the group modulo torsion |
j |
66775173193/32915456 |
j-invariant |
L |
5.288848750691 |
L(r)(E,1)/r! |
Ω |
0.95603694303619 |
Real period |
R |
0.39514677075543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41328bp1 574c1 129150t1 36162cm1 |
Quadratic twists by: -4 -3 5 -7 |