Atkin-Lehner |
3- 5+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165d |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
507904 |
Modular degree for the optimal curve |
Δ |
-566901623722455 = -1 · 37 · 5 · 78 · 17 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18090,655231] |
[a1,a2,a3,a4,a6] |
Generators |
[302:5645:1] |
Generators of the group modulo torsion |
j |
898045580910239/777642830895 |
j-invariant |
L |
7.091699290396 |
L(r)(E,1)/r! |
Ω |
0.3364683324323 |
Real period |
R |
1.3173043686907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055f1 |
Quadratic twists by: -3 |