Atkin-Lehner |
2+ 3+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16074a |
Isogeny class |
Conductor |
16074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
72525888 = 26 · 33 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -6 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2631,52605] |
[a1,a2,a3,a4,a6] |
Generators |
[3:210:1] |
Generators of the group modulo torsion |
j |
74613143896299/2686144 |
j-invariant |
L |
4.2020266318152 |
L(r)(E,1)/r! |
Ω |
1.8183845503385 |
Real period |
R |
1.1554284903688 |
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 |
128592e1 16074e1 |
Quadratic twists by: -4 -3 |