Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240n |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[723:186:1] |
Generators of the group modulo torsion |
j |
403987375837267326724/72765 |
j-invariant |
L |
5.3378995176485 |
L(r)(E,1)/r! |
Ω |
0.78040025347989 |
Real period |
R |
2.2799836766865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480q3 73920i4 27720bh4 46200ca4 |
Quadratic twists by: -4 8 -3 5 |