Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9744c |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[13:62:1] [18:102:1] |
Generators of the group modulo torsion |
j |
12601744846/14852901 |
j-invariant |
L |
4.7641999203358 |
L(r)(E,1)/r! |
Ω |
0.63137744059263 |
Real period |
R |
7.545724021854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4872f4 38976ca3 29232m3 68208u3 |
Quadratic twists by: -4 8 -3 -7 |