Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8436b |
Isogeny class |
Conductor |
8436 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-539364096 = -1 · 28 · 34 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -3 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-685,6767] |
[a1,a2,a3,a4,a6] |
Generators |
[41:222:1] |
Generators of the group modulo torsion |
j |
-139055865856/2106891 |
j-invariant |
L |
5.4959427238096 |
L(r)(E,1)/r! |
Ω |
1.6482072234853 |
Real period |
R |
0.13893739223386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33744j1 25308c1 |
Quadratic twists by: -4 -3 |