Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bb |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59542443140625000 = 23 · 34 · 59 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48135026,128536469948] |
[a1,a2,a3,a4,a6] |
Generators |
[-11274:3525383:8] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
6.7272824107905 |
L(r)(E,1)/r! |
Ω |
0.23769704588689 |
Real period |
R |
3.5377398074848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830v8 150c7 |
Quadratic twists by: 5 -19 |