Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666ci |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
3225775761936 = 24 · 33 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-147287,21744345] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:2749:1] |
Generators of the group modulo torsion |
j |
73207745356537/668304 |
j-invariant |
L |
17.428269655353 |
L(r)(E,1)/r! |
Ω |
0.71800564009863 |
Real period |
R |
2.0227637745328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282i1 |
Quadratic twists by: 13 |