Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10320o |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12384000000000000 = 217 · 32 · 512 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1061976,-420843024] |
[a1,a2,a3,a4,a6] |
j |
32337636827233520089/3023437500000 |
j-invariant |
L |
0.59488534859876 |
L(r)(E,1)/r! |
Ω |
0.14872133714969 |
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 |
1290e4 41280dn4 30960bu4 51600db4 |
Quadratic twists by: -4 8 -3 5 |