Atkin-Lehner |
2- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19504h |
Isogeny class |
Conductor |
19504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4380480 |
Modular degree for the optimal curve |
Δ |
-2.6240144904487E+25 |
Discriminant |
Eigenvalues |
2- -2 1 2 4 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67120680,-324891212108] |
[a1,a2,a3,a4,a6] |
Generators |
[3566841889374116839298453726574:215337472076501982822449653612544:304117409033959499010863137] |
Generators of the group modulo torsion |
j |
-8164560540209513880634921/6406285377072000925696 |
j-invariant |
L |
4.5411097995479 |
L(r)(E,1)/r! |
Ω |
0.025511952467175 |
Real period |
R |
44.499826163743 |
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 |
2438a1 78016m1 |
Quadratic twists by: -4 8 |