Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760br |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1517954457600 = 213 · 32 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13171216,-18394301120] |
[a1,a2,a3,a4,a6] |
Generators |
[154110:8204930:27] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
3.3177736297946 |
L(r)(E,1)/r! |
Ω |
0.079248871013519 |
Real period |
R |
10.466311971904 |
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 |
1470p5 47040hc6 35280fq6 58800iz6 |
Quadratic twists by: -4 8 -3 5 |