Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240z |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-3312995840 = -1 · 29 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-2764] |
[a1,a2,a3,a4,a6] |
Generators |
[28:134:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
3.7623961490865 |
L(r)(E,1)/r! |
Ω |
0.64258971585942 |
Real period |
R |
2.9275259598067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86240bh1 1760k1 |
Quadratic twists by: -4 -7 |