Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672bb |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1726546112 = -1 · 26 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3 2 -4 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184,-2218] |
[a1,a2,a3,a4,a6] |
Generators |
[285406539:408066083:15438249] |
Generators of the group modulo torsion |
j |
-10764582912/26977283 |
j-invariant |
L |
8.6764693793261 |
L(r)(E,1)/r! |
Ω |
0.60364500754528 |
Real period |
R |
14.373463328404 |
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 |
20672f1 5168e1 |
Quadratic twists by: -4 8 |