Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157g |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-402497667 = -1 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
0 3- 0 1 11- 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-660,6597] |
[a1,a2,a3,a4,a6] |
Generators |
[5:58:1] |
Generators of the group modulo torsion |
j |
-360448000/4563 |
j-invariant |
L |
3.9970026952313 |
L(r)(E,1)/r! |
Ω |
1.6906917271306 |
Real period |
R |
0.59103067565354 |
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 |
4719i1 14157p1 |
Quadratic twists by: -3 -11 |