Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1980f |
Isogeny class |
Conductor |
1980 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
123980925024000 = 28 · 37 · 53 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14007,346606] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:770:1] |
Generators of the group modulo torsion |
j |
1628514404944/664335375 |
j-invariant |
L |
2.9277347498235 |
L(r)(E,1)/r! |
Ω |
0.53279828454085 |
Real period |
R |
1.8316717819681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7920bh4 31680r4 660c4 9900u4 |
Quadratic twists by: -4 8 -3 5 |