Atkin-Lehner |
3- 7+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74907c |
Isogeny class |
Conductor |
74907 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-110265103192923 = -1 · 38 · 75 · 293 · 41 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ -3 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10335,-647136] |
[a1,a2,a3,a4,a6] |
j |
-167466377728000/151255285587 |
j-invariant |
L |
0.45640338936141 |
L(r)(E,1)/r! |
Ω |
0.22820170530499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24969c1 |
Quadratic twists by: -3 |