Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808bg |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-18608707815918336 = -1 · 28 · 311 · 177 |
Discriminant |
Eigenvalues |
2- 3- -3 4 1 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45084,-7526716] |
[a1,a2,a3,a4,a6] |
Generators |
[272:578:1] |
Generators of the group modulo torsion |
j |
-2249728/4131 |
j-invariant |
L |
4.4535362539919 |
L(r)(E,1)/r! |
Ω |
0.15441584069913 |
Real period |
R |
1.8025742347045 |
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 |
41616ba1 6936d1 1224g1 |
Quadratic twists by: -4 -3 17 |