Atkin-Lehner |
3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675q |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59231390625 = 32 · 56 · 112 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16226,-796777] |
[a1,a2,a3,a4,a6] |
Generators |
[1209293:8672424:6859] |
Generators of the group modulo torsion |
j |
30234279618577/3790809 |
j-invariant |
L |
8.2915751163922 |
L(r)(E,1)/r! |
Ω |
0.42301246058489 |
Real period |
R |
9.800627509807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1947c2 |
Quadratic twists by: 5 |