Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140b |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2628489864960 = 28 · 39 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259767,-50959314] |
[a1,a2,a3,a4,a6] |
Generators |
[2731:140030:1] |
Generators of the group modulo torsion |
j |
384719669306352/521645 |
j-invariant |
L |
7.1287371209307 |
L(r)(E,1)/r! |
Ω |
0.21147235188383 |
Real period |
R |
5.6183365954471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58140a2 |
Quadratic twists by: -3 |