Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
20328f |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-197222256 = -1 · 24 · 33 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ -1 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,-1839] |
[a1,a2,a3,a4,a6] |
Generators |
[40:231:1] |
Generators of the group modulo torsion |
j |
-91625216/9261 |
j-invariant |
L |
7.080139727486 |
L(r)(E,1)/r! |
Ω |
0.59089088148808 |
Real period |
R |
0.33283733790312 |
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 |
40656a1 60984ca1 20328t1 |
Quadratic twists by: -4 -3 -11 |