Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150v |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16921875000000 = -1 · 26 · 3 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6224,59198] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:4457:27] |
Generators of the group modulo torsion |
j |
4728305591/3000000 |
j-invariant |
L |
6.8243128541536 |
L(r)(E,1)/r! |
Ω |
0.43135196228502 |
Real period |
R |
3.9551882515896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830t2 54150bm2 |
Quadratic twists by: 5 -19 |