Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560f |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
984960000 = 210 · 34 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480,-3600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:10:1] |
Generators of the group modulo torsion |
j |
11968836484/961875 |
j-invariant |
L |
3.0409483353379 |
L(r)(E,1)/r! |
Ω |
1.0249991246283 |
Real period |
R |
0.74169534935962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2280j3 18240cl3 13680q3 22800bh4 |
Quadratic twists by: -4 8 -3 5 |