Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bu |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-10008652800 = -1 · 210 · 3 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-381,-5475] |
[a1,a2,a3,a4,a6] |
Generators |
[44:247:1] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
3.7465224254661 |
L(r)(E,1)/r! |
Ω |
0.51132257356756 |
Real period |
R |
1.8317802788004 |
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 |
18240y1 4560g1 54720et1 91200hz1 |
Quadratic twists by: -4 8 -3 5 |