Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dw |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3837528259277343750 = 2 · 38 · 515 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32812499480,2287750408763397] |
[a1,a2,a3,a4,a6] |
Generators |
[93746721725780:-78898773216081:895841344] |
Generators of the group modulo torsion |
j |
342999983683000258740998632369/336902343750 |
j-invariant |
L |
11.019636768149 |
L(r)(E,1)/r! |
Ω |
0.074026286824353 |
Real period |
R |
18.607641381436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850a6 23310z6 |
Quadratic twists by: -3 5 |