Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bc |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6593000954650248600 = -1 · 23 · 39 · 52 · 712 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,334710,-98604500] |
[a1,a2,a3,a4,a6] |
j |
48351870250991/76871856600 |
j-invariant |
L |
1.0017143297578 |
L(r)(E,1)/r! |
Ω |
0.12521429117835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bo2 6930q2 |
Quadratic twists by: -3 -7 |