Atkin-Lehner |
2- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43792h |
Isogeny class |
Conductor |
43792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
-19536046883454976 = -1 · 214 · 78 · 17 · 233 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43336,5773396] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1472:1] |
Generators of the group modulo torsion |
j |
2197354919110343/4769542696156 |
j-invariant |
L |
2.9076031823282 |
L(r)(E,1)/r! |
Ω |
0.26744500857121 |
Real period |
R |
1.8119632629404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474c1 |
Quadratic twists by: -4 |