Atkin-Lehner |
2- 3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090dz |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1373682376856790000 = -1 · 24 · 37 · 54 · 7 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43528,56270571] |
[a1,a2,a3,a4,a6] |
Generators |
[35:7587:1] |
Generators of the group modulo torsion |
j |
12511566144938951/1884337965510000 |
j-invariant |
L |
12.67497583013 |
L(r)(E,1)/r! |
Ω |
0.20829966983717 |
Real period |
R |
0.95077681775359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030c3 |
Quadratic twists by: -3 |