Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050o |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-3213808406573875200 = -1 · 225 · 316 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,195498,-79625484] |
[a1,a2,a3,a4,a6] |
Generators |
[146769361710:-4113582466089:226981000] |
Generators of the group modulo torsion |
j |
45340038226926455/176340653309952 |
j-invariant |
L |
4.7597080745328 |
L(r)(E,1)/r! |
Ω |
0.12783700638519 |
Real period |
R |
18.61631545169 |
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 |
13350p1 40050bo2 |
Quadratic twists by: -3 5 |