Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9016i |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-111527487232 = -1 · 28 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,-26048] |
[a1,a2,a3,a4,a6] |
Generators |
[51:196:1] |
Generators of the group modulo torsion |
j |
-9826000/3703 |
j-invariant |
L |
2.8761625217213 |
L(r)(E,1)/r! |
Ω |
0.38386081169629 |
Real period |
R |
1.8731806126624 |
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 |
18032d1 72128q1 81144bn1 1288b1 |
Quadratic twists by: -4 8 -3 -7 |