Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048b |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-15194759936 = -1 · 28 · 172 · 593 |
Discriminant |
Eigenvalues |
2+ 1 -3 3 4 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252,6044] |
[a1,a2,a3,a4,a6] |
Generators |
[10:68:1] |
Generators of the group modulo torsion |
j |
-6940769488/59354531 |
j-invariant |
L |
5.2755252535182 |
L(r)(E,1)/r! |
Ω |
1.0654259976594 |
Real period |
R |
1.2378910560442 |
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 |
8024l1 64192bw1 |
Quadratic twists by: -4 8 |