Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128h |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
3565002694767696 = 24 · 33 · 7 · 132 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38487,427230] |
[a1,a2,a3,a4,a6] |
Generators |
[198:780:1] |
Generators of the group modulo torsion |
j |
394055318218528768/222812668422981 |
j-invariant |
L |
8.2513590292543 |
L(r)(E,1)/r! |
Ω |
0.38254951723836 |
Real period |
R |
3.5948980273287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256p1 111384bw1 |
Quadratic twists by: -4 -3 |