Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9016g |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2121446768 = -1 · 24 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -6 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1388,-19571] |
[a1,a2,a3,a4,a6] |
Generators |
[54:245:1] |
Generators of the group modulo torsion |
j |
-157216000/1127 |
j-invariant |
L |
3.1705741846669 |
L(r)(E,1)/r! |
Ω |
0.39089504848738 |
Real period |
R |
2.0277656348781 |
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 |
18032b1 72128n1 81144bp1 1288e1 |
Quadratic twists by: -4 8 -3 -7 |