Atkin-Lehner |
2- 3+ 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582u |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
199936 |
Modular degree for the optimal curve |
Δ |
-8083854065664 = -1 · 222 · 33 · 13 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 2 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,136789] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-424:1] |
Generators of the group modulo torsion |
j |
29503629/299402002432 |
j-invariant |
L |
12.317565059346 |
L(r)(E,1)/r! |
Ω |
0.58558574890505 |
Real period |
R |
0.2390296049577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582d1 |
Quadratic twists by: -3 |