Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080i |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
19077465889440000 = 28 · 310 · 54 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134823,17857978] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1134:1] |
Generators of the group modulo torsion |
j |
1452272715673936/102224075625 |
j-invariant |
L |
5.6013207741597 |
L(r)(E,1)/r! |
Ω |
0.3786387865734 |
Real period |
R |
1.8491636923989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001492 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360bb2 |
Quadratic twists by: -3 |