Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700w |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
546085152000 = 28 · 310 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78653,-8464023] |
[a1,a2,a3,a4,a6] |
Generators |
[347:2430:1] |
Generators of the group modulo torsion |
j |
5818717724672/59049 |
j-invariant |
L |
6.0078986400554 |
L(r)(E,1)/r! |
Ω |
0.28508248508717 |
Real period |
R |
1.7561872310417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700bz1 86700cd1 |
Quadratic twists by: 5 17 |