Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480q |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74511360 = 210 · 33 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1552320,-743906160] |
[a1,a2,a3,a4,a6] |
j |
403987375837267326724/72765 |
j-invariant |
L |
1.0820422159246 |
L(r)(E,1)/r! |
Ω |
0.13525527699057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240n4 73920gt4 55440t4 92400cg4 |
Quadratic twists by: -4 8 -3 5 |