Atkin-Lehner |
2+ 3- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450bc |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
333853523437500 = 22 · 36 · 59 · 11 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24201,-1153952] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:492:1] |
Generators of the group modulo torsion |
j |
802542076757/170933004 |
j-invariant |
L |
7.0874407874828 |
L(r)(E,1)/r! |
Ω |
0.38854670573068 |
Real period |
R |
1.5200748311591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999578847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120450bs2 |
Quadratic twists by: 5 |