Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fg |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7615833702400000000 = 226 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2094700,1159314000] |
[a1,a2,a3,a4,a6] |
Generators |
[80:31500:1] |
Generators of the group modulo torsion |
j |
248158561089321/1859334400 |
j-invariant |
L |
4.8141588516457 |
L(r)(E,1)/r! |
Ω |
0.23570580961755 |
Real period |
R |
2.5530548049198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110742 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200p2 30800bq2 24640ba2 |
Quadratic twists by: -4 8 5 |