Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200cd |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1035000000000 = 29 · 32 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55408,-5038312] |
[a1,a2,a3,a4,a6] |
Generators |
[1799:75636:1] |
Generators of the group modulo torsion |
j |
2351575819592/129375 |
j-invariant |
L |
8.7361987305294 |
L(r)(E,1)/r! |
Ω |
0.31117680444051 |
Real period |
R |
7.0186776502899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200f4 110400b4 11040b2 |
Quadratic twists by: -4 8 5 |