Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4984d |
Isogeny class |
Conductor |
4984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-35372524544 = -1 · 210 · 72 · 893 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 2 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197,-8986] |
[a1,a2,a3,a4,a6] |
Generators |
[633:2492:27] |
Generators of the group modulo torsion |
j |
825700284/34543481 |
j-invariant |
L |
5.7008392651288 |
L(r)(E,1)/r! |
Ω |
0.55688885245038 |
Real period |
R |
0.85307855718492 |
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 |
9968c1 39872l1 44856b1 124600g1 |
Quadratic twists by: -4 8 -3 5 |