Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840be |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8771026762137600 = -1 · 216 · 32 · 52 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161825,25512225] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:6960:1] |
Generators of the group modulo torsion |
j |
-7151272254745636/133835247225 |
j-invariant |
L |
3.3130460929873 |
L(r)(E,1)/r! |
Ω |
0.4124778776901 |
Real period |
R |
0.33466906875311 |
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 |
27840eh2 3480e2 83520y2 |
Quadratic twists by: -4 8 -3 |