Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9744a |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
220943407104 = 211 · 312 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8904,325584] |
[a1,a2,a3,a4,a6] |
Generators |
[58:30:1] |
Generators of the group modulo torsion |
j |
38123958498194/107882523 |
j-invariant |
L |
2.6691307406937 |
L(r)(E,1)/r! |
Ω |
0.99929327519772 |
Real period |
R |
2.6710184156554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4872g3 38976br4 29232h4 68208t4 |
Quadratic twists by: -4 8 -3 -7 |