Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320k |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30716415000000000 = 29 · 37 · 510 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-497163,-134662462] |
[a1,a2,a3,a4,a6] |
Generators |
[-104014784:-96384375:262144] |
Generators of the group modulo torsion |
j |
36410162968802888/82294921875 |
j-invariant |
L |
5.869848738027 |
L(r)(E,1)/r! |
Ω |
0.1798182783105 |
Real period |
R |
8.1608065545262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320bq2 25440z2 |
Quadratic twists by: -4 -3 |