Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148s |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
286868736 = 28 · 33 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821,9297] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:126:1] [7:62:1] |
Generators of the group modulo torsion |
j |
5767168/27 |
j-invariant |
L |
8.960232038778 |
L(r)(E,1)/r! |
Ω |
1.7418018045412 |
Real period |
R |
0.85737194815568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cb1 71148t1 |
Quadratic twists by: -7 -11 |