Atkin-Lehner |
2+ 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184a |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-219504816 = -1 · 24 · 39 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,729] |
[a1,a2,a3,a4,a6] |
Generators |
[0:27:1] |
Generators of the group modulo torsion |
j |
-55296/697 |
j-invariant |
L |
3.9751418476418 |
L(r)(E,1)/r! |
Ω |
1.5038300717031 |
Real period |
R |
0.66083627439152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368b1 50184t1 |
Quadratic twists by: -4 -3 |