Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800p |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-217088000000000000 = -1 · 224 · 512 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4685633,-3905543137] |
[a1,a2,a3,a4,a6] |
j |
-2777593363840009/53000000 |
j-invariant |
L |
1.8470535145485 |
L(r)(E,1)/r! |
Ω |
0.051307043136937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800cb2 2650h2 16960e2 |
Quadratic twists by: -4 8 5 |