Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21216b |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35303424 = 212 · 3 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,1969] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:52:1] [-7:60:1] |
Generators of the group modulo torsion |
j |
653972032/8619 |
j-invariant |
L |
5.3363509888369 |
L(r)(E,1)/r! |
Ω |
2.0700395694997 |
Real period |
R |
1.2889490296376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21216g2 42432cq1 63648p2 |
Quadratic twists by: -4 8 -3 |