Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950cb |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
674177770977750000 = 24 · 311 · 56 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-227038,13140692] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:4580:1] |
Generators of the group modulo torsion |
j |
82832250843593497/43147377342576 |
j-invariant |
L |
13.711471987484 |
L(r)(E,1)/r! |
Ω |
0.25239431217276 |
Real period |
R |
0.24693453719005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3198a1 |
Quadratic twists by: 5 |