Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400i |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-861184000000000000 = -1 · 222 · 512 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15700,-44642000] |
[a1,a2,a3,a4,a6] |
j |
104487111/210250000 |
j-invariant |
L |
1.0447369037596 |
L(r)(E,1)/r! |
Ω |
0.13059211296849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400br2 1450e2 9280h2 |
Quadratic twists by: -4 8 5 |