Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800cu |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
77976000000000000 = 215 · 33 · 512 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-441008,-112068012] |
[a1,a2,a3,a4,a6] |
Generators |
[2143:93750:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
6.8473121224545 |
L(r)(E,1)/r! |
Ω |
0.18535452188946 |
Real period |
R |
3.0784754411234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2850r2 91200fv2 68400ef2 4560r2 |
Quadratic twists by: -4 8 -3 5 |