Atkin-Lehner |
2- 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394cc |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-409825835496 = -1 · 23 · 35 · 7 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4540,119813] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/231336 |
j-invariant |
L |
2.8164011222785 |
L(r)(E,1)/r! |
Ω |
0.93880039747291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
714b1 |
Quadratic twists by: -11 |