Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bj |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3316898459700 = -1 · 22 · 39 · 52 · 73 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1143,-86639] |
[a1,a2,a3,a4,a6] |
Generators |
[50:281:1] |
Generators of the group modulo torsion |
j |
9056932295/181997172 |
j-invariant |
L |
5.0323958567057 |
L(r)(E,1)/r! |
Ω |
0.38624437687023 |
Real period |
R |
1.0857538556028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850be1 53550eo1 |
Quadratic twists by: -3 5 |