Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632t |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
4239941957888 = 28 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 4 7- 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12756,-541372] |
[a1,a2,a3,a4,a6] |
Generators |
[3992:252090:1] |
Generators of the group modulo torsion |
j |
7622072656/140777 |
j-invariant |
L |
13.387105284578 |
L(r)(E,1)/r! |
Ω |
0.4497333496875 |
Real period |
R |
7.4416903347076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376l1 |
Quadratic twists by: -7 |