Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675q |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30421875 = 3 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-259601,-50932027] |
[a1,a2,a3,a4,a6] |
Generators |
[1226529636638:-50901305511381:667627624] |
Generators of the group modulo torsion |
j |
123828429385748737/1947 |
j-invariant |
L |
8.2915751163922 |
L(r)(E,1)/r! |
Ω |
0.21150623029244 |
Real period |
R |
19.601255019614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947c3 |
Quadratic twists by: 5 |