Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288g |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37345233458138112 = 210 · 33 · 136 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127144,14808988] |
[a1,a2,a3,a4,a6] |
j |
45989074372/7555707 |
j-invariant |
L |
2.7915848084952 |
L(r)(E,1)/r! |
Ω |
0.34894811666764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552d3 |
Quadratic twists by: 13 |