Atkin-Lehner |
3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14703j |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-132327 = -1 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 -3 -3 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,311] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-1:1] |
Generators of the group modulo torsion |
j |
-446265625/783 |
j-invariant |
L |
2.6850009635387 |
L(r)(E,1)/r! |
Ω |
3.2877148859613 |
Real period |
R |
0.27222564979745 |
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 |
44109r1 14703i1 |
Quadratic twists by: -3 13 |