Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20944f |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-804584704 = -1 · 28 · 75 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 11+ -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8436,-301064] |
[a1,a2,a3,a4,a6] |
Generators |
[256191:1231976:2197] |
Generators of the group modulo torsion |
j |
-259385049258064/3142909 |
j-invariant |
L |
2.5568918312718 |
L(r)(E,1)/r! |
Ω |
0.24907538512731 |
Real period |
R |
10.265533986688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236e1 83776z1 |
Quadratic twists by: -4 8 |