Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ch |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9383112000000000 = 212 · 32 · 59 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2403008,1434568512] |
[a1,a2,a3,a4,a6] |
Generators |
[536:17328:1] |
Generators of the group modulo torsion |
j |
23977812996389881/146611125 |
j-invariant |
L |
4.6410024727648 |
L(r)(E,1)/r! |
Ω |
0.36499121742132 |
Real period |
R |
1.5894226529455 |
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 |
1425h3 91200hv4 68400fr4 4560bd4 |
Quadratic twists by: -4 8 -3 5 |