Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9744o |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-718405632 = -1 · 217 · 33 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -1 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152,1428] |
[a1,a2,a3,a4,a6] |
Generators |
[22:96:1] |
Generators of the group modulo torsion |
j |
-95443993/175392 |
j-invariant |
L |
5.9008924318216 |
L(r)(E,1)/r! |
Ω |
1.4331841329987 |
Real period |
R |
0.3431108569115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1218b1 38976bd1 29232be1 68208bm1 |
Quadratic twists by: -4 8 -3 -7 |