Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
240b |
Isogeny class |
Conductor |
240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
298598400 = 214 · 36 · 52 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,-1680] |
[a1,a2,a3,a4,a6] |
j |
702595369/72900 |
j-invariant |
L |
1.1583921113141 |
L(r)(E,1)/r! |
Ω |
1.1583921113141 |
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 |
30a2 960o2 720j2 1200p2 |
Quadratic twists by: -4 8 -3 5 |