Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55470k |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
60844722605280 = 25 · 314 · 5 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38653,2897528] |
[a1,a2,a3,a4,a6] |
Generators |
[142:455:1] |
Generators of the group modulo torsion |
j |
80325199737523/765275040 |
j-invariant |
L |
6.6981692846643 |
L(r)(E,1)/r! |
Ω |
0.62649252669351 |
Real period |
R |
1.5273627147787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55470q2 |
Quadratic twists by: -43 |