Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157a |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-165302208006507 = -1 · 33 · 118 · 134 |
Discriminant |
Eigenvalues |
0 3+ 4 1 11- 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23958,1555606] |
[a1,a2,a3,a4,a6] |
j |
-262766592/28561 |
j-invariant |
L |
2.2344988648153 |
L(r)(E,1)/r! |
Ω |
0.55862471620382 |
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 |
14157b1 14157c1 |
Quadratic twists by: -3 -11 |