Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160k |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
1780392960 = 210 · 38 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,-9614] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:4:1] |
Generators of the group modulo torsion |
j |
96550276/2385 |
j-invariant |
L |
5.6696974578821 |
L(r)(E,1)/r! |
Ω |
0.88114781612323 |
Real period |
R |
1.6086113345956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19080l1 12720k1 |
Quadratic twists by: -4 -3 |