Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bf |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3771629568 = 215 · 34 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1153,-14399] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1368:1] |
Generators of the group modulo torsion |
j |
5177717000/115101 |
j-invariant |
L |
5.2391209575276 |
L(r)(E,1)/r! |
Ω |
0.82034858903354 |
Real period |
R |
3.1932284808954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bp2 19488h2 116928ep2 |
Quadratic twists by: -4 8 -3 |