Atkin-Lehner |
3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483g |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-347731556490013731 = -1 · 3 · 710 · 177 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 5 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-75525,29499854] |
[a1,a2,a3,a4,a6] |
j |
-16777216/122451 |
j-invariant |
L |
2.0841590194375 |
L(r)(E,1)/r! |
Ω |
0.26051987740714 |
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 |
127449z1 6069d1 2499k1 |
Quadratic twists by: -3 -7 17 |