Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400a |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17372368000000 = -1 · 210 · 56 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4525,-162750] |
[a1,a2,a3,a4,a6] |
Generators |
[402:3501:8] |
Generators of the group modulo torsion |
j |
640412028/1085773 |
j-invariant |
L |
4.3696368958799 |
L(r)(E,1)/r! |
Ω |
0.36398097418984 |
Real period |
R |
6.0025622309298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44200a3 3536e4 |
Quadratic twists by: -4 5 |