Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096cc |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-114761784361728 = -1 · 28 · 3 · 710 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,-755159] |
[a1,a2,a3,a4,a6] |
j |
-3211264/1587 |
j-invariant |
L |
0.87700039628472 |
L(r)(E,1)/r! |
Ω |
0.21925009956909 |
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 |
13524h1 54096cj1 |
Quadratic twists by: -4 -7 |