Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778bh |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
5626368 |
Modular degree for the optimal curve |
Δ |
1.1331627140776E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6125567,-2797078503] |
[a1,a2,a3,a4,a6] |
Generators |
[-2042:35629:1] |
Generators of the group modulo torsion |
j |
10780240094482643/4805716082688 |
j-invariant |
L |
15.579832520562 |
L(r)(E,1)/r! |
Ω |
0.10002596909507 |
Real period |
R |
2.1633038372913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74778i1 |
Quadratic twists by: -11 |