Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048w |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-14300950528 = -1 · 212 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 0 -2 2 3 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-656,-8656] |
[a1,a2,a3,a4,a6] |
Generators |
[374279:201335:12167] |
Generators of the group modulo torsion |
j |
-7622111232/3491443 |
j-invariant |
L |
4.6668249039865 |
L(r)(E,1)/r! |
Ω |
0.46148928125221 |
Real period |
R |
10.11253152256 |
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 |
1003d1 64192co1 |
Quadratic twists by: -4 8 |