Atkin-Lehner |
2+ 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8466f |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
24447931121664 = 222 · 35 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120752,-16158850] |
[a1,a2,a3,a4,a6] |
j |
194715955430565041017/24447931121664 |
j-invariant |
L |
1.2805592532424 |
L(r)(E,1)/r! |
Ω |
0.25611185064848 |
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 |
67728q1 25398u1 |
Quadratic twists by: -4 -3 |