Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700z |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
6788691281250000 = 24 · 32 · 59 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96333,10836162] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:1914:1] |
Generators of the group modulo torsion |
j |
131072/9 |
j-invariant |
L |
4.7185431947346 |
L(r)(E,1)/r! |
Ω |
0.41292245820644 |
Real period |
R |
5.7135947748992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86700cb1 300c1 |
Quadratic twists by: 5 17 |