Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168a |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
426160654123008 = 219 · 3 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99457,12064897] |
[a1,a2,a3,a4,a6] |
Generators |
[18272475:603880732:15625] |
Generators of the group modulo torsion |
j |
415044078605857/1625673882 |
j-invariant |
L |
6.8141383449491 |
L(r)(E,1)/r! |
Ω |
0.53270628924604 |
Real period |
R |
12.791548518358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168do3 1974h4 |
Quadratic twists by: -4 8 |