Atkin-Lehner |
5- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16835f |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
-4771328982875 = -1 · 53 · 73 · 133 · 373 |
Discriminant |
Eigenvalues |
0 1 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1125,-106469] |
[a1,a2,a3,a4,a6] |
Generators |
[55:32:1] |
Generators of the group modulo torsion |
j |
-157604009476096/4771328982875 |
j-invariant |
L |
5.1681224566382 |
L(r)(E,1)/r! |
Ω |
0.33520071358761 |
Real period |
R |
1.7131103999433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84175a2 117845e2 |
Quadratic twists by: 5 -7 |