Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25480n |
Isogeny class |
Conductor |
25480 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
239815721600000 = 210 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-662627,-207610354] |
[a1,a2,a3,a4,a6] |
j |
267080942160036/1990625 |
j-invariant |
L |
1.6733333504896 |
L(r)(E,1)/r! |
Ω |
0.16733333504898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50960h1 127400h1 3640h1 |
Quadratic twists by: -4 5 -7 |