Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582g |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
3339627732 = 22 · 38 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -3 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-418,1712] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:56:1] [-17:71:1] |
Generators of the group modulo torsion |
j |
3352478521/1390932 |
j-invariant |
L |
4.9448966964893 |
L(r)(E,1)/r! |
Ω |
1.2784400098585 |
Real period |
R |
0.080581552816275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656bv1 46746bd1 15582f1 |
Quadratic twists by: -4 -3 -7 |