Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680w |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3292101678781440 = 210 · 38 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154083,-23115598] |
[a1,a2,a3,a4,a6] |
Generators |
[-221:378:1] |
Generators of the group modulo torsion |
j |
541951476635524/4410072765 |
j-invariant |
L |
7.1849641956829 |
L(r)(E,1)/r! |
Ω |
0.24108712366437 |
Real period |
R |
0.93132361398344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bj4 28560z4 |
Quadratic twists by: -4 -3 |