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 |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
25617923136 = 26 · 38 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4449,-113960] |
[a1,a2,a3,a4,a6] |
Generators |
[33220:522522:125] |
Generators of the group modulo torsion |
j |
208738917568/549081 |
j-invariant |
L |
7.665638320812 |
L(r)(E,1)/r! |
Ω |
0.58465896243825 |
Real period |
R |
6.5556493728115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71136r1 23712q1 |
Quadratic twists by: -4 -3 |