Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288o |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3440640284928 = 28 · 33 · 72 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6132,163908] |
[a1,a2,a3,a4,a6] |
j |
99623319308368/13440001113 |
j-invariant |
L |
1.5248154044934 |
L(r)(E,1)/r! |
Ω |
0.76240770165664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114576m1 |
Quadratic twists by: -4 |