Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160z |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-38288446875000000 = -1 · 26 · 36 · 511 · 75 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67302,6593022] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
2.1842793159501 |
L(r)(E,1)/r! |
Ω |
0.24269770177223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160bo1 10080x1 2240i1 100800ep1 |
Quadratic twists by: -4 8 -3 5 |