Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800n |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5184200000000 = 29 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,250488] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:322:1] |
Generators of the group modulo torsion |
j |
7100029448/648025 |
j-invariant |
L |
5.3074808646516 |
L(r)(E,1)/r! |
Ω |
0.74565647891587 |
Real period |
R |
1.7794658331694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999144657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800a2 25760j2 |
Quadratic twists by: -4 5 |