Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216n |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
30117888 = 212 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,-1472] |
[a1,a2,a3,a4,a6] |
j |
454756609/7353 |
j-invariant |
L |
2.3886580789362 |
L(r)(E,1)/r! |
Ω |
1.1943290394632 |
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 |
2451h1 117648bh1 |
Quadratic twists by: -4 -3 |