Atkin-Lehner |
3+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38493b |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-6308966409992883 = -1 · 39 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
2 3+ 0 7- -1 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2565,-3821857] |
[a1,a2,a3,a4,a6] |
Generators |
[2162:31209:8] |
Generators of the group modulo torsion |
j |
-94818816000/320528700401 |
j-invariant |
L |
11.883978739064 |
L(r)(E,1)/r! |
Ω |
0.19214455350567 |
Real period |
R |
1.7180321508297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38493a1 |
Quadratic twists by: -3 |