Atkin-Lehner |
17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23273f |
Isogeny class |
Conductor |
23273 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-466400312354429 = -1 · 173 · 377 |
Discriminant |
Eigenvalues |
-1 0 -1 -1 -5 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14802,-777742] |
[a1,a2,a3,a4,a6] |
Generators |
[146:2043:1] [324:5998:1] |
Generators of the group modulo torsion |
j |
139798359/181781 |
j-invariant |
L |
4.4251175991743 |
L(r)(E,1)/r! |
Ω |
0.28097898099295 |
Real period |
R |
1.312410624553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
629a1 |
Quadratic twists by: 37 |