Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840t |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3052749478763520 = -1 · 210 · 322 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,2658382] |
[a1,a2,a3,a4,a6] |
j |
-445138564/4089438495 |
j-invariant |
L |
2.8812618097553 |
L(r)(E,1)/r! |
Ω |
0.36015772621941 |
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 |
13680k4 54720by3 2280e4 34200bg3 |
Quadratic twists by: -4 8 -3 5 |