Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bx |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-477654940000000 = -1 · 28 · 57 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19370,-175003] |
[a1,a2,a3,a4,a6] |
j |
437245479/259840 |
j-invariant |
L |
2.4560538155827 |
L(r)(E,1)/r! |
Ω |
0.30700672715873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14210c1 10150m1 |
Quadratic twists by: 5 -7 |