Atkin-Lehner |
2+ 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184v |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
359664271858096128 = 211 · 318 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1332352,590790932] |
[a1,a2,a3,a4,a6] |
Generators |
[494:7308:1] |
Generators of the group modulo torsion |
j |
127717679818995888386/175617320243211 |
j-invariant |
L |
8.4836581967304 |
L(r)(E,1)/r! |
Ω |
0.30186022730623 |
Real period |
R |
0.39034154013331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592v2 |
Quadratic twists by: -4 |