Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bs |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1289380875374592 = 212 · 35 · 77 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2732462,-1738744864] |
[a1,a2,a3,a4,a6] |
Generators |
[-954:493:1] |
Generators of the group modulo torsion |
j |
19177749277229260873/10959556608 |
j-invariant |
L |
4.5733321558629 |
L(r)(E,1)/r! |
Ω |
0.11742513167761 |
Real period |
R |
1.9473395901386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fe1 6006g1 |
Quadratic twists by: -3 -7 |