Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
86240be |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
223213094720 = 26 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16186,-797700] |
[a1,a2,a3,a4,a6] |
Generators |
[321:5214:1] |
Generators of the group modulo torsion |
j |
62287505344/29645 |
j-invariant |
L |
4.0460079460225 |
L(r)(E,1)/r! |
Ω |
0.42327716554943 |
Real period |
R |
4.7793836710442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240bk1 12320g1 |
Quadratic twists by: -4 -7 |