Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864u |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-776326144 = -1 · 210 · 11 · 413 |
Discriminant |
Eigenvalues |
2- -2 3 1 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3509,78859] |
[a1,a2,a3,a4,a6] |
Generators |
[35:12:1] |
Generators of the group modulo torsion |
j |
-4667642871808/758131 |
j-invariant |
L |
5.127943443277 |
L(r)(E,1)/r! |
Ω |
1.5433227472534 |
Real period |
R |
1.6613321654214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864b2 7216e2 |
Quadratic twists by: -4 8 |