Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640du |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
1.427467114911E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1689600,824986548] |
[a1,a2,a3,a4,a6] |
j |
403583419/10800 |
j-invariant |
L |
2.6619400426911 |
L(r)(E,1)/r! |
Ω |
0.22182833252398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830w1 86640cg1 |
Quadratic twists by: -4 -19 |