Atkin-Lehner |
2- 3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36582j |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
694144 |
Modular degree for the optimal curve |
Δ |
-3459593593290600948 = -1 · 22 · 3 · 74 · 1311 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -5 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-209398,96704039] |
[a1,a2,a3,a4,a6] |
j |
-1015409985102752982625/3459593593290600948 |
j-invariant |
L |
1.7557061481369 |
L(r)(E,1)/r! |
Ω |
0.21946326851485 |
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 |
109746h1 |
Quadratic twists by: -3 |