Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20944b |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-30329592832 = -1 · 210 · 7 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,352,-7868] |
[a1,a2,a3,a4,a6] |
Generators |
[16:46:1] [18:68:1] |
Generators of the group modulo torsion |
j |
4696965500/29618743 |
j-invariant |
L |
5.3589111205005 |
L(r)(E,1)/r! |
Ω |
0.58709618965651 |
Real period |
R |
2.2819561832086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472d1 83776y1 |
Quadratic twists by: -4 8 |