Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bj |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2073673728 = -1 · 214 · 32 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,2304] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:34:1] [0:48:1] |
Generators of the group modulo torsion |
j |
-166375/1476 |
j-invariant |
L |
9.6100945511696 |
L(r)(E,1)/r! |
Ω |
1.2567184042578 |
Real period |
R |
1.9117438159944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bj1 96432ch1 |
Quadratic twists by: -4 -7 |