Atkin-Lehner |
2+ 3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930p |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
133224750 = 2 · 36 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1404,-20348] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:12:1] |
Generators of the group modulo torsion |
j |
305759741604409/133224750 |
j-invariant |
L |
4.6058986371483 |
L(r)(E,1)/r! |
Ω |
0.78002082151761 |
Real period |
R |
0.98414010457375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790cy1 109650bz1 |
Quadratic twists by: -3 5 |