Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14706i |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
19554509376 = 26 · 39 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78561,8495037] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-12:1] |
Generators of the group modulo torsion |
j |
73556372280592657/26823744 |
j-invariant |
L |
4.3867595489536 |
L(r)(E,1)/r! |
Ω |
0.98632033137932 |
Real period |
R |
1.111900315088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648bx1 4902l1 |
Quadratic twists by: -4 -3 |