Atkin-Lehner |
2+ 3+ 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290b |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1458263520 = 25 · 33 · 5 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125445,17132661] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-96:1] |
Generators of the group modulo torsion |
j |
8085780784174569867/54009760 |
j-invariant |
L |
3.9713161946775 |
L(r)(E,1)/r! |
Ω |
1.0389128315901 |
Real period |
R |
1.9112846014954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bv2 |
Quadratic twists by: -3 |