Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450c |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.76797212321E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8992375,10288367125] |
[a1,a2,a3,a4,a6] |
Generators |
[-2985:104180:1] |
Generators of the group modulo torsion |
j |
5146677912258698240881/49715021588544000 |
j-invariant |
L |
3.3104272458104 |
L(r)(E,1)/r! |
Ω |
0.16022206376415 |
Real period |
R |
5.165373557066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bk2 |
Quadratic twists by: 5 |