Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270a |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22413488548089960 = 23 · 32 · 5 · 538 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-589948,-174506168] |
[a1,a2,a3,a4,a6] |
Generators |
[4585604769:-124853633918:3581577] |
Generators of the group modulo torsion |
j |
1024497361441/1011240 |
j-invariant |
L |
3.9822734256896 |
L(r)(E,1)/r! |
Ω |
0.17227480305282 |
Real period |
R |
11.557910250927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590t2 |
Quadratic twists by: 53 |