Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720d |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-561600 = -1 · 26 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3,-36] |
[a1,a2,a3,a4,a6] |
j |
1728/325 |
j-invariant |
L |
2.7478025197417 |
L(r)(E,1)/r! |
Ω |
1.3739012598709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18720z1 37440m1 18720x1 93600cx1 |
Quadratic twists by: -4 8 -3 5 |