Atkin-Lehner |
3- 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118755m |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
145531918607985 = 38 · 5 · 74 · 133 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14274,-303017] |
[a1,a2,a3,a4,a6] |
Generators |
[-698:4525:8] |
Generators of the group modulo torsion |
j |
441215108294689/199632261465 |
j-invariant |
L |
9.5974755903118 |
L(r)(E,1)/r! |
Ω |
0.45577389055286 |
Real period |
R |
3.5095895078692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39585b1 |
Quadratic twists by: -3 |