Atkin-Lehner |
2+ 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9490d |
Isogeny class |
Conductor |
9490 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
8144347656250 = 2 · 59 · 134 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13987818,20134827306] |
[a1,a2,a3,a4,a6] |
j |
302672933732543273052842521/8144347656250 |
j-invariant |
L |
1.552892805834 |
L(r)(E,1)/r! |
Ω |
0.38822320145851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75920o1 85410y1 47450r1 123370m1 |
Quadratic twists by: -4 -3 5 13 |