Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400du |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
513962496000 = 212 · 310 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6848,213108] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:528:1] [-38:648:1] |
Generators of the group modulo torsion |
j |
69375867029/1003833 |
j-invariant |
L |
7.7340990901603 |
L(r)(E,1)/r! |
Ω |
0.93068072901996 |
Real period |
R |
0.41550764128883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1275b2 81600hh2 61200hl2 20400ct2 |
Quadratic twists by: -4 8 -3 5 |