Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148y |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
453747578946816 = 28 · 3 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221349,40144161] |
[a1,a2,a3,a4,a6] |
j |
7929856/3 |
j-invariant |
L |
3.1081266489208 |
L(r)(E,1)/r! |
Ω |
0.51802110598475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cu1 71148z1 |
Quadratic twists by: -7 -11 |