Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760p |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-5336558640 = -1 · 24 · 34 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,425,862] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:748:27] |
Generators of the group modulo torsion |
j |
4499456/2835 |
j-invariant |
L |
4.4461633250201 |
L(r)(E,1)/r! |
Ω |
0.8431750066664 |
Real period |
R |
5.2731203959645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5880bj1 47040gi1 35280br1 58800di1 |
Quadratic twists by: -4 8 -3 5 |