Atkin-Lehner |
2- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19504f |
Isogeny class |
Conductor |
19504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-19504 = -1 · 24 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 0 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,11] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-3538944/1219 |
j-invariant |
L |
3.6636865240853 |
L(r)(E,1)/r! |
Ω |
3.6357087282494 |
Real period |
R |
1.0076952797727 |
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 |
4876b1 78016j1 |
Quadratic twists by: -4 8 |