Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160w |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-13363052544000 = -1 · 226 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-536,175764] |
[a1,a2,a3,a4,a6] |
j |
-4165509529/3262464000 |
j-invariant |
L |
3.4309243677331 |
L(r)(E,1)/r! |
Ω |
0.57182072795551 |
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 |
1770a1 56640cb1 42480br1 70800bh1 |
Quadratic twists by: -4 8 -3 5 |