Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400x |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-321511187200 = -1 · 28 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-27283] |
[a1,a2,a3,a4,a6] |
Generators |
[31:42:1] |
Generators of the group modulo torsion |
j |
5120/50236123 |
j-invariant |
L |
9.9413203310792 |
L(r)(E,1)/r! |
Ω |
0.44297890907761 |
Real period |
R |
1.6029980087808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85400j1 |
Quadratic twists by: 5 |