Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720c |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-10235160000 = -1 · 26 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,243,-4644] |
[a1,a2,a3,a4,a6] |
j |
1259712/8125 |
j-invariant |
L |
2.5692126439206 |
L(r)(E,1)/r! |
Ω |
0.64230316098016 |
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 |
18720y1 37440k2 18720w1 93600cu1 |
Quadratic twists by: -4 8 -3 5 |