Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cw |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-3.4736140224852E+19 |
Discriminant |
Eigenvalues |
2- 2 3 7- 0 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,723771,-155928163] |
[a1,a2,a3,a4,a6] |
Generators |
[63233909956903991107727207642417548:2192506653782014242197963816389642371:166826182564775491294639892567597] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
12.311194829859 |
L(r)(E,1)/r! |
Ω |
0.11431690978235 |
Real period |
R |
53.846779331679 |
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 |
75712p1 18928g1 5824v1 |
Quadratic twists by: -4 8 13 |