Atkin-Lehner |
3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
867d |
Isogeny class |
Conductor |
867 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
9605617996257 = 34 · 179 |
Discriminant |
Eigenvalues |
-1 3- 0 4 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6653,145704] |
[a1,a2,a3,a4,a6] |
j |
274625/81 |
j-invariant |
L |
1.3508834867746 |
L(r)(E,1)/r! |
Ω |
0.67544174338731 |
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 |
13872r1 55488c1 2601h1 21675d1 |
Quadratic twists by: -4 8 -3 5 |