Atkin-Lehner |
2- 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cp |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1889112802500 = 22 · 32 · 54 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13906,-628864] |
[a1,a2,a3,a4,a6] |
j |
297394093761051169/1889112802500 |
j-invariant |
L |
3.5184794303478 |
L(r)(E,1)/r! |
Ω |
0.43980992880338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810bx2 |
Quadratic twists by: -3 |