Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760bq |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-7228354560 = -1 · 212 · 3 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,4096] |
[a1,a2,a3,a4,a6] |
Generators |
[0:64:1] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
3.9136675594174 |
L(r)(E,1)/r! |
Ω |
1.0587563815807 |
Real period |
R |
1.8482380023884 |
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 |
735e1 47040hg1 35280fr1 58800it1 |
Quadratic twists by: -4 8 -3 5 |