Atkin-Lehner |
2+ 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568m |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-8577792 = -1 · 28 · 33 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,-4437] |
[a1,a2,a3,a4,a6] |
j |
-53140599808/33507 |
j-invariant |
L |
1.5163955400447 |
L(r)(E,1)/r! |
Ω |
0.50546517941735 |
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 |
29784c1 |
Quadratic twists by: -4 |