Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9744a |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30762353664 = 210 · 36 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-784,784] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:54:1] |
Generators of the group modulo torsion |
j |
52110563908/30041361 |
j-invariant |
L |
2.6691307406937 |
L(r)(E,1)/r! |
Ω |
0.99929327519772 |
Real period |
R |
1.3355092078277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4872g2 38976br2 29232h2 68208t2 |
Quadratic twists by: -4 8 -3 -7 |