Atkin-Lehner |
2+ 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650t |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-167539590000000 = -1 · 27 · 34 · 57 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41126,-3273352] |
[a1,a2,a3,a4,a6] |
j |
-492309163417681/10722533760 |
j-invariant |
L |
1.3392813492595 |
L(r)(E,1)/r! |
Ω |
0.16741016881347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730j1 |
Quadratic twists by: 5 |