Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hg |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7199961583288320 = 215 · 32 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1167000,-485609580] |
[a1,a2,a3,a4,a6] |
Generators |
[805322:33821040:343] |
Generators of the group modulo torsion |
j |
1063394339743/43560 |
j-invariant |
L |
10.20702536285 |
L(r)(E,1)/r! |
Ω |
0.14525559747941 |
Real period |
R |
8.7836764118194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170o2 129360dw2 |
Quadratic twists by: -4 -7 |