Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200gh |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-190571421093750000 = -1 · 24 · 315 · 511 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -5 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38325,21200875] |
[a1,a2,a3,a4,a6] |
j |
-34158804736/1045659375 |
j-invariant |
L |
1.0649383449689 |
L(r)(E,1)/r! |
Ω |
0.26623458778429 |
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 |
15300y1 20400dh1 12240bq1 |
Quadratic twists by: -4 -3 5 |