Atkin-Lehner |
3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467x |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-4869593883 = -1 · 312 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,420,544] |
[a1,a2,a3,a4,a6] |
j |
229376000/136323 |
j-invariant |
L |
1.6703652852369 |
L(r)(E,1)/r! |
Ω |
0.83518264473346 |
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 |
27489f1 82467m1 |
Quadratic twists by: -3 -7 |