Atkin-Lehner |
2- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21692a |
Isogeny class |
Conductor |
21692 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7528685824 = -1 · 28 · 112 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 2 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,481,-970] |
[a1,a2,a3,a4,a6] |
Generators |
[1828:12155:64] |
Generators of the group modulo torsion |
j |
48074964912/29408929 |
j-invariant |
L |
5.9674595976243 |
L(r)(E,1)/r! |
Ω |
0.76429901333432 |
Real period |
R |
3.9038776012485 |
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 |
86768j2 |
Quadratic twists by: -4 |