Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136l |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15176320413696 = 212 · 37 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6204,-15680] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:315:1] |
Generators of the group modulo torsion |
j |
8844058432/5082519 |
j-invariant |
L |
7.665638320812 |
L(r)(E,1)/r! |
Ω |
0.58465896243825 |
Real period |
R |
3.2778246864057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136r3 23712q3 |
Quadratic twists by: -4 -3 |