Atkin-Lehner |
3- 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
23157f |
Isogeny class |
Conductor |
23157 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
1802564037 = 36 · 313 · 83 |
Discriminant |
Eigenvalues |
-2 3- -4 -3 0 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-327,-1004] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:11:1] [-94:275:8] |
Generators of the group modulo torsion |
j |
5304438784/2472653 |
j-invariant |
L |
3.0489332041893 |
L(r)(E,1)/r! |
Ω |
1.1743740083821 |
Real period |
R |
0.43270332143303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2573a1 |
Quadratic twists by: -3 |