Atkin-Lehner |
2+ 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
16590f |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1834854000 = -1 · 24 · 3 · 53 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,278,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:19:1] [0:34:1] |
Generators of the group modulo torsion |
j |
2362734140759/1834854000 |
j-invariant |
L |
4.7631791107248 |
L(r)(E,1)/r! |
Ω |
0.9530270214834 |
Real period |
R |
0.83299126596094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770bs1 82950cn1 116130bg1 |
Quadratic twists by: -3 5 -7 |