Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050ci |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
861840 |
Modular degree for the optimal curve |
Δ |
1638356444200000000 = 29 · 58 · 710 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-331388,-40125219] |
[a1,a2,a3,a4,a6] |
j |
36474865/14848 |
j-invariant |
L |
1.8556757888715 |
L(r)(E,1)/r! |
Ω |
0.20618620043449 |
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 |
71050l1 71050ce1 |
Quadratic twists by: 5 -7 |