Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fg |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-723433553920000000 = -1 · 234 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46700,41106000] |
[a1,a2,a3,a4,a6] |
Generators |
[930:48825:8] |
Generators of the group modulo torsion |
j |
-2749884201/176619520 |
j-invariant |
L |
4.8141588516457 |
L(r)(E,1)/r! |
Ω |
0.23570580961755 |
Real period |
R |
5.1061096098396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200p1 30800bq1 24640ba1 |
Quadratic twists by: -4 8 5 |