Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400ej |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1729440300000000 = -1 · 28 · 3 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14292,-1884912] |
[a1,a2,a3,a4,a6] |
j |
560/3 |
j-invariant |
L |
3.7897901875276 |
L(r)(E,1)/r! |
Ω |
0.23686188672043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800bo1 88200de1 29400b1 29400dl1 |
Quadratic twists by: -4 -3 5 -7 |