Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800dh |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-21299200 = -1 · 216 · 52 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,223] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
-2500/13 |
j-invariant |
L |
4.1592278114212 |
L(r)(E,1)/r! |
Ω |
1.8646067281416 |
Real period |
R |
0.55765483260464 |
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 |
20800bc1 5200c1 20800dt1 |
Quadratic twists by: -4 8 5 |