Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136l |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16406257300992 = -1 · 29 · 310 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2739,-202538] |
[a1,a2,a3,a4,a6] |
Generators |
[1049:33930:1] |
Generators of the group modulo torsion |
j |
-6088387976/43955379 |
j-invariant |
L |
7.665638320812 |
L(r)(E,1)/r! |
Ω |
0.29232948121912 |
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 |
71136r2 23712q2 |
Quadratic twists by: -4 -3 |