Atkin-Lehner |
3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4389c |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
82320 |
Modular degree for the optimal curve |
Δ |
4.3731285645734E+19 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-993851,-210574828] |
[a1,a2,a3,a4,a6] |
j |
108564537417325852524544/43731285645734113581 |
j-invariant |
L |
1.0961106744397 |
L(r)(E,1)/r! |
Ω |
0.15658723920567 |
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 |
70224ce1 13167g1 109725m1 30723e1 |
Quadratic twists by: -4 -3 5 -7 |