Atkin-Lehner |
2- 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47560d |
Isogeny class |
Conductor |
47560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7609600 = 28 · 52 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6343,194442] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:170:27] [-3:462:1] |
Generators of the group modulo torsion |
j |
110247279382224/29725 |
j-invariant |
L |
8.8071683726969 |
L(r)(E,1)/r! |
Ω |
1.8760284506848 |
Real period |
R |
2.3472907272495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95120a2 |
Quadratic twists by: -4 |