Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400ba |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-380108800000000 = -1 · 225 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63500,6230000] |
[a1,a2,a3,a4,a6] |
j |
-276531705/3712 |
j-invariant |
L |
2.1481161714939 |
L(r)(E,1)/r! |
Ω |
0.53702904297313 |
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 |
46400cj1 1450d1 46400c1 |
Quadratic twists by: -4 8 5 |