Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480w |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-6326523209440000 = -1 · 28 · 54 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64941,-7409359] |
[a1,a2,a3,a4,a6] |
j |
-20524048384/4286875 |
j-invariant |
L |
0.59150714095186 |
L(r)(E,1)/r! |
Ω |
0.14787678876353 |
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 |
18620c1 74480cy1 |
Quadratic twists by: -4 -7 |