Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400j |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4150656720000000 = -1 · 210 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3992,-3099488] |
[a1,a2,a3,a4,a6] |
j |
439608956/259416045 |
j-invariant |
L |
1.6400364537715 |
L(r)(E,1)/r! |
Ω |
0.20500455672144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4200k4 33600gu3 25200bs3 1680h4 |
Quadratic twists by: -4 8 -3 5 |