Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048o |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-1458295368704 = -1 · 210 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ -3 -1 -3 -2 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363403,84320074] |
[a1,a2,a3,a4,a6] |
Generators |
[347:-34:1] |
Generators of the group modulo torsion |
j |
-5183096326183997316/1424116571 |
j-invariant |
L |
1.8694512706208 |
L(r)(E,1)/r! |
Ω |
0.68130809625354 |
Real period |
R |
0.11432977733696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8024g1 64192cj1 |
Quadratic twists by: -4 8 |