Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bx |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
545897967285093750 = 2 · 39 · 56 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209198,9679447] |
[a1,a2,a3,a4,a6] |
Generators |
[3577932883392910:12575258429364077:8108486729000] |
Generators of the group modulo torsion |
j |
57960603/31250 |
j-invariant |
L |
11.622739297418 |
L(r)(E,1)/r! |
Ω |
0.25508341520661 |
Real period |
R |
22.782232402096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490j2 90b4 |
Quadratic twists by: -3 -31 |