Atkin-Lehner |
2- 3+ 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330bd |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
67463437500000 = 25 · 32 · 510 · 172 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10845,176595] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:788:1] |
Generators of the group modulo torsion |
j |
141063574341318481/67463437500000 |
j-invariant |
L |
6.3410253958187 |
L(r)(E,1)/r! |
Ω |
0.55090250969192 |
Real period |
R |
0.23020499214504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126990m2 |
Quadratic twists by: -3 |