Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8800a |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
440000000000 = 212 · 510 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300,28000] |
[a1,a2,a3,a4,a6] |
Generators |
[45:125:1] |
Generators of the group modulo torsion |
j |
21024576/6875 |
j-invariant |
L |
4.1744942062893 |
L(r)(E,1)/r! |
Ω |
0.86753110591871 |
Real period |
R |
2.4059622633753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8800u2 17600k1 79200du3 1760j3 |
Quadratic twists by: -4 8 -3 5 |