Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cz |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
28330215079320 = 23 · 310 · 5 · 73 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74120,-7768920] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:142:1] |
Generators of the group modulo torsion |
j |
45032940957707902081/28330215079320 |
j-invariant |
L |
11.881945626769 |
L(r)(E,1)/r! |
Ω |
0.28935571930965 |
Real period |
R |
0.4562606137186 |
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 |
117810bg2 |
Quadratic twists by: -3 |