Atkin-Lehner |
2- 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86904l |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
2.2498051663162E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -6 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2640171,-1485136186] |
[a1,a2,a3,a4,a6] |
Generators |
[-349925630:4549564582:357911] |
Generators of the group modulo torsion |
j |
1363208861955090386/150691039624871 |
j-invariant |
L |
3.0445832805673 |
L(r)(E,1)/r! |
Ω |
0.11928829074544 |
Real period |
R |
12.761450680242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9656a1 |
Quadratic twists by: -3 |