Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ch |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29241000000000000 = 212 · 34 · 512 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153008,21568512] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:6650:1] |
Generators of the group modulo torsion |
j |
6189976379881/456890625 |
j-invariant |
L |
4.6410024727648 |
L(r)(E,1)/r! |
Ω |
0.36499121742132 |
Real period |
R |
3.1788453058909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1425h2 91200hv2 68400fr2 4560bd2 |
Quadratic twists by: -4 8 -3 5 |