Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62868g |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-757415763217152 = -1 · 28 · 32 · 139 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31997,-2580993] |
[a1,a2,a3,a4,a6] |
Generators |
[5269:382278:1] |
Generators of the group modulo torsion |
j |
-2932006912/612963 |
j-invariant |
L |
9.6394003567441 |
L(r)(E,1)/r! |
Ω |
0.17650132088372 |
Real period |
R |
4.5511464673715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4836f1 |
Quadratic twists by: 13 |