Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843p |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-15690078430299 = -1 · 36 · 73 · 137 |
Discriminant |
Eigenvalues |
0 3- -1 7- 2 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,789,190649] |
[a1,a2,a3,a4,a6] |
Generators |
[303:5323:1] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
4.990315198876 |
L(r)(E,1)/r! |
Ω |
0.54098755367926 |
Real period |
R |
0.19217614022636 |
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 |
74529t1 24843c1 1911e1 |
Quadratic twists by: -3 -7 13 |