Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8466i |
Isogeny class |
Conductor |
8466 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-42444324864 = -1 · 216 · 33 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1572,-26078] |
[a1,a2,a3,a4,a6] |
Generators |
[65:351:1] |
Generators of the group modulo torsion |
j |
-429224141207737/42444324864 |
j-invariant |
L |
4.4175388107078 |
L(r)(E,1)/r! |
Ω |
0.37701654158355 |
Real period |
R |
0.97642462232407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728s1 25398o1 |
Quadratic twists by: -4 -3 |