Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600h |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10944000000 = 212 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433,46737] |
[a1,a2,a3,a4,a6] |
Generators |
[17:100:1] [-33:300:1] |
Generators of the group modulo torsion |
j |
24897088/171 |
j-invariant |
L |
6.8782247031536 |
L(r)(E,1)/r! |
Ω |
1.2861515459277 |
Real period |
R |
0.66848894332586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600q2 91200hx1 1824k2 |
Quadratic twists by: -4 8 5 |