Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bb |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.3515846130947E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42446817,90572063341] |
[a1,a2,a3,a4,a6] |
Generators |
[9674:760163:1] |
Generators of the group modulo torsion |
j |
742525803457216841161/118657634071410000 |
j-invariant |
L |
4.6684459955393 |
L(r)(E,1)/r! |
Ω |
0.081910710966673 |
Real period |
R |
1.7810727759304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850bc3 10710bb3 |
Quadratic twists by: -3 5 |