Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800a |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
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 |
[3002580:56269983:8000] |
Generators of the group modulo torsion |
j |
7100029448/648025 |
j-invariant |
L |
9.6498015052186 |
L(r)(E,1)/r! |
Ω |
0.50762505338647 |
Real period |
R |
9.5048513701352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800n2 25760n2 |
Quadratic twists by: -4 5 |