Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bu |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
3.4145370112E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3998008,1251654512] |
[a1,a2,a3,a4,a6] |
Generators |
[-718:61250:1] |
Generators of the group modulo torsion |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
5.8200161358062 |
L(r)(E,1)/r! |
Ω |
0.12544786617976 |
Real period |
R |
1.1598475755959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850g1 17360bb1 |
Quadratic twists by: -4 5 |