Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032s |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-11891310592 = -1 · 216 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3432,-76432] |
[a1,a2,a3,a4,a6] |
Generators |
[3218:182490:1] |
Generators of the group modulo torsion |
j |
-3183010111/8464 |
j-invariant |
L |
8.0084815684856 |
L(r)(E,1)/r! |
Ω |
0.31181932021905 |
Real period |
R |
6.4207708191876 |
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 |
2254e1 72128bo1 18032v1 |
Quadratic twists by: -4 8 -7 |