Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166bi |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
1673784 = 23 · 36 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -4 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-362,2737] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-5:1] |
Generators of the group modulo torsion |
j |
7177888089/2296 |
j-invariant |
L |
5.813091267782 |
L(r)(E,1)/r! |
Ω |
2.6057589500744 |
Real period |
R |
0.74362100500714 |
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 |
41328bl1 574e1 129150z1 36162ck1 |
Quadratic twists by: -4 -3 5 -7 |