Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160o |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3558374608682880000 = -1 · 210 · 39 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-582552,193715496] |
[a1,a2,a3,a4,a6] |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
1.9263998556736 |
L(r)(E,1)/r! |
Ω |
0.24079998195921 |
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 |
20160di1 2520k1 20160b1 100800x1 |
Quadratic twists by: -4 8 -3 5 |