Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264cb |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1501734961152 = 216 · 36 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8307,-285390] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:54:1] |
Generators of the group modulo torsion |
j |
21230922609/502928 |
j-invariant |
L |
4.0256473867155 |
L(r)(E,1)/r! |
Ω |
0.50080105885219 |
Real period |
R |
2.0096040649693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13158g1 11696j1 |
Quadratic twists by: -4 -3 |