Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800h |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2365632000000 = 212 · 33 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,-104463] |
[a1,a2,a3,a4,a6] |
j |
195112000/36963 |
j-invariant |
L |
2.3204008940493 |
L(r)(E,1)/r! |
Ω |
0.58010024938902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800t2 3552f2 |
Quadratic twists by: -4 5 |