Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10143q |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-510203043 = -1 · 39 · 72 · 232 |
Discriminant |
Eigenvalues |
0 3- 0 7- -6 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2730,54913] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:310:1] [29:11:1] |
Generators of the group modulo torsion |
j |
-62992384000/14283 |
j-invariant |
L |
5.0657823261644 |
L(r)(E,1)/r! |
Ω |
1.6082510649278 |
Real period |
R |
0.3937337923038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381a1 10143j1 |
Quadratic twists by: -3 -7 |