Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550a |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
177568594875000 = 23 · 34 · 56 · 72 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-381771700,-2871294725000] |
[a1,a2,a3,a4,a6] |
Generators |
[366490383528204853541377083689821:58061931660998037318397833835979383:9777062705162282607455025571] |
Generators of the group modulo torsion |
j |
393835520764651127390754625/11364390072 |
j-invariant |
L |
3.5973443625913 |
L(r)(E,1)/r! |
Ω |
0.034154554236328 |
Real period |
R |
52.66273333956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982j4 |
Quadratic twists by: 5 |