Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360ba |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8090930540160000 = 210 · 34 · 54 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-300040,-63210112] |
[a1,a2,a3,a4,a6] |
Generators |
[1607:60060:1] |
Generators of the group modulo torsion |
j |
2917176278129886244/7901299355625 |
j-invariant |
L |
8.9041975211796 |
L(r)(E,1)/r! |
Ω |
0.20402122201788 |
Real period |
R |
5.4554358568129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720m4 |
Quadratic twists by: -4 |