Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818bd |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2750640208344 = 23 · 33 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2765904,-1770762456] |
[a1,a2,a3,a4,a6] |
j |
19890549858062266993/23380056 |
j-invariant |
L |
4.2144681788285 |
L(r)(E,1)/r! |
Ω |
0.11706856052301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544cr2 41454bb2 1974d2 |
Quadratic twists by: -4 -3 -7 |