Atkin-Lehner |
3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483k |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1266715483551 = -1 · 32 · 73 · 177 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 6 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1306,56575] |
[a1,a2,a3,a4,a6] |
j |
-29791/153 |
j-invariant |
L |
1.4924435953758 |
L(r)(E,1)/r! |
Ω |
0.74622179773185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127449bl1 42483r1 2499m1 |
Quadratic twists by: -3 -7 17 |