Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136ba |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
25617923136 = 26 · 38 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-849,5600] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:945:8] |
Generators of the group modulo torsion |
j |
1450571968/549081 |
j-invariant |
L |
8.4878023067573 |
L(r)(E,1)/r! |
Ω |
1.0875605046382 |
Real period |
R |
3.9022207364874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999875 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71136bd1 23712a1 |
Quadratic twists by: -4 -3 |