Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400a |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48288960000000000 = 215 · 38 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92033,1955937] |
[a1,a2,a3,a4,a6] |
Generators |
[11:972:1] |
Generators of the group modulo torsion |
j |
168379496648/94314375 |
j-invariant |
L |
3.5027493423787 |
L(r)(E,1)/r! |
Ω |
0.30896330522891 |
Real period |
R |
2.8342761493718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dm3 55200v3 22080bc3 |
Quadratic twists by: -4 8 5 |