Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760br |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4781556541440000 = 214 · 34 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-823216,-287193920] |
[a1,a2,a3,a4,a6] |
Generators |
[5098:357750:1] |
Generators of the group modulo torsion |
j |
128031684631201/9922500 |
j-invariant |
L |
3.3177736297946 |
L(r)(E,1)/r! |
Ω |
0.15849774202704 |
Real period |
R |
5.2331559859518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1470p4 47040hc4 35280fq4 58800iz4 |
Quadratic twists by: -4 8 -3 5 |