Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048n |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-24890804393984 = -1 · 211 · 17 · 595 |
Discriminant |
Eigenvalues |
2+ 1 2 4 -6 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17272,900340] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1180:1] |
Generators of the group modulo torsion |
j |
-278257444311026/12153713083 |
j-invariant |
L |
7.1517986685089 |
L(r)(E,1)/r! |
Ω |
0.66575776906609 |
Real period |
R |
0.53711717690815 |
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 |
8024f1 64192cf1 |
Quadratic twists by: -4 8 |