Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950bc |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-317798437500 = -1 · 22 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,-26784] |
[a1,a2,a3,a4,a6] |
Generators |
[34:158:1] |
Generators of the group modulo torsion |
j |
1685159/27900 |
j-invariant |
L |
3.9146064110317 |
L(r)(E,1)/r! |
Ω |
0.47143059039755 |
Real period |
R |
2.0759187517566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600en1 4650bq1 2790y1 |
Quadratic twists by: -4 -3 5 |