Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040a |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
54793446400 = 210 · 52 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2803,-55998] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:30:1] |
Generators of the group modulo torsion |
j |
2378444647716/53509225 |
j-invariant |
L |
4.5333259526378 |
L(r)(E,1)/r! |
Ω |
0.65703506281639 |
Real period |
R |
1.7249178374426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998983726 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58520n2 |
Quadratic twists by: -4 |