Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18207a |
Isogeny class |
Conductor |
18207 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2154683037520251 = -1 · 37 · 74 · 177 |
Discriminant |
Eigenvalues |
0 3- 1 7+ -5 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13872,2320164] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:220:1] [68:1300:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
6.161147789418 |
L(r)(E,1)/r! |
Ω |
0.39795068608628 |
Real period |
R |
0.48381841054942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6069d1 127449z1 1071c1 |
Quadratic twists by: -3 -7 17 |