Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926m |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
4128776064 = 27 · 37 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5679,-163283] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:26:1] |
Generators of the group modulo torsion |
j |
81014113783/16512 |
j-invariant |
L |
4.5410640102692 |
L(r)(E,1)/r! |
Ω |
0.5499628001541 |
Real period |
R |
1.0321298115516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642u1 37926n1 |
Quadratic twists by: -3 -7 |