Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10404d |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-819679402347264 = -1 · 28 · 33 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6936,-1395292] |
[a1,a2,a3,a4,a6] |
j |
-221184/4913 |
j-invariant |
L |
2.6040269169613 |
L(r)(E,1)/r! |
Ω |
0.21700224308011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616bq1 10404e2 612b1 |
Quadratic twists by: -4 -3 17 |