Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565ba |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4216320 |
Modular degree for the optimal curve |
Δ |
-456594464602546875 = -1 · 36 · 56 · 119 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14326158,20870999388] |
[a1,a2,a3,a4,a6] |
Generators |
[1056:83187:1] |
Generators of the group modulo torsion |
j |
-251784668965666816/353546875 |
j-invariant |
L |
3.5287593389344 |
L(r)(E,1)/r! |
Ω |
0.2517519820857 |
Real period |
R |
0.87605053810977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999685792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285l1 8415l1 |
Quadratic twists by: -3 -11 |