Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224g |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
667955341108224 = 210 · 38 · 134 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89931,-10305610] |
[a1,a2,a3,a4,a6] |
Generators |
[1702382:-59031504:1331] |
Generators of the group modulo torsion |
j |
107751790391332/894787569 |
j-invariant |
L |
5.7529747798798 |
L(r)(E,1)/r! |
Ω |
0.27582887776264 |
Real period |
R |
10.428521528477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110448i2 18408h2 |
Quadratic twists by: -4 -3 |