Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16960c |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-138936320000000000 = -1 · 228 · 510 · 53 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78452,15813872] |
[a1,a2,a3,a4,a6] |
Generators |
[4839252:192925000:35937] |
Generators of the group modulo torsion |
j |
203702260843719/530000000000 |
j-invariant |
L |
7.7076261580492 |
L(r)(E,1)/r! |
Ω |
0.2291624394311 |
Real period |
R |
8.4084745488652 |
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 |
16960n1 530c1 84800z1 |
Quadratic twists by: -4 8 5 |