Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760z |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
774789254400 = 28 · 3 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4916,-127380] |
[a1,a2,a3,a4,a6] |
Generators |
[3054:168756:1] |
Generators of the group modulo torsion |
j |
1272112/75 |
j-invariant |
L |
5.0648238786922 |
L(r)(E,1)/r! |
Ω |
0.57225064337547 |
Real period |
R |
4.4253544642754 |
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 |
5880d2 47040fj2 35280cp2 58800bh2 |
Quadratic twists by: -4 8 -3 5 |