Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818z |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
51744 |
Modular degree for the optimal curve |
Δ |
-244709438109696 = -1 · 211 · 32 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12055,-909847] |
[a1,a2,a3,a4,a6] |
j |
-685878529/866304 |
j-invariant |
L |
4.7843808088724 |
L(r)(E,1)/r! |
Ω |
0.21747185494875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544cj1 41454x1 13818k1 |
Quadratic twists by: -4 -3 -7 |