Atkin-Lehner |
2+ 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394v |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-34831641768 = -1 · 23 · 3 · 73 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,118,-8956] |
[a1,a2,a3,a4,a6] |
Generators |
[74:600:1] |
Generators of the group modulo torsion |
j |
12562583/2379048 |
j-invariant |
L |
3.349183013724 |
L(r)(E,1)/r! |
Ω |
0.5477082081509 |
Real period |
R |
3.0574519146091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394cu1 |
Quadratic twists by: -11 |