Atkin-Lehner |
3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505i |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-9534973725 = -1 · 36 · 52 · 233 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 5 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,15972] |
[a1,a2,a3,a4,a6] |
Generators |
[33:98:1] |
Generators of the group modulo torsion |
j |
-229333309561/13079525 |
j-invariant |
L |
4.5675442103357 |
L(r)(E,1)/r! |
Ω |
1.2768029960344 |
Real period |
R |
0.59622147720047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4945b1 |
Quadratic twists by: -3 |