Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4872f |
Isogeny class |
Conductor |
4872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-30418741248 = -1 · 211 · 3 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,616,6192] |
[a1,a2,a3,a4,a6] |
j |
12601744846/14852901 |
j-invariant |
L |
1.5691766088426 |
L(r)(E,1)/r! |
Ω |
0.78458830442128 |
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 |
9744c4 38976h3 14616l4 121800bg3 |
Quadratic twists by: -4 8 -3 5 |