Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584j |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-2919616 = -1 · 26 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 0 -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
25088/19 |
j-invariant |
L |
2.6643474512587 |
L(r)(E,1)/r! |
Ω |
1.4190970980356 |
Real period |
R |
0.62583160684297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584n1 29792a1 59584bj1 |
Quadratic twists by: -4 8 -7 |