Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18424d |
Isogeny class |
Conductor |
18424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-39635477504 = -1 · 210 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 3 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-9584] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3724:1] |
Generators of the group modulo torsion |
j |
-4/329 |
j-invariant |
L |
5.3572179429639 |
L(r)(E,1)/r! |
Ω |
0.52504904194874 |
Real period |
R |
2.550817883164 |
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 |
36848f1 2632c1 |
Quadratic twists by: -4 -7 |