Atkin-Lehner |
17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23273g |
Isogeny class |
Conductor |
23273 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43488 |
Modular degree for the optimal curve |
Δ |
1222640282557 = 176 · 373 |
Discriminant |
Eigenvalues |
0 -1 0 1 -3 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-63023,-6068520] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:8:1] |
Generators of the group modulo torsion |
j |
546540875776000/24137569 |
j-invariant |
L |
3.130168424422 |
L(r)(E,1)/r! |
Ω |
0.30131819913708 |
Real period |
R |
0.86568740105591 |
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 |
23273e1 |
Quadratic twists by: 37 |