Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138k |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
11300456448 = 211 · 38 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 2 -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-810,-7052] |
[a1,a2,a3,a4,a6] |
j |
95930521/18432 |
j-invariant |
L |
1.8136021124369 |
L(r)(E,1)/r! |
Ω |
0.90680105621845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104ck1 5046j1 15138be1 |
Quadratic twists by: -4 -3 29 |