Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
128772a |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
103904538573540096 = 28 · 39 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-493479,132524910] |
[a1,a2,a3,a4,a6] |
Generators |
[-528390:89452350:6859] |
Generators of the group modulo torsion |
j |
22418690544/175273 |
j-invariant |
L |
7.2712017463661 |
L(r)(E,1)/r! |
Ω |
0.33710402207191 |
Real period |
R |
10.784804119789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128772b2 18396b2 |
Quadratic twists by: -3 -7 |