Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136m |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45859081058758656 = 212 · 320 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127884,-14272000] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:315:1] |
Generators of the group modulo torsion |
j |
77461316057152/15358113459 |
j-invariant |
L |
9.5426526461717 |
L(r)(E,1)/r! |
Ω |
0.25595827581648 |
Real period |
R |
4.6602579148992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136s2 23712n2 |
Quadratic twists by: -4 -3 |