Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14703k |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-2282027172548712147 = -1 · 39 · 1310 · 292 |
Discriminant |
Eigenvalues |
2 3- 0 -3 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,47602,-72554725] |
[a1,a2,a3,a4,a6] |
Generators |
[4250:81167:8] |
Generators of the group modulo torsion |
j |
86528000/16553403 |
j-invariant |
L |
10.381256891732 |
L(r)(E,1)/r! |
Ω |
0.12222124908878 |
Real period |
R |
4.7187907036213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109v1 14703l1 |
Quadratic twists by: -3 13 |