Atkin-Lehner |
2+ 7- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55384d |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2740389686272 = 210 · 76 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-485155,130067502] |
[a1,a2,a3,a4,a6] |
Generators |
[3314:-3381:8] |
Generators of the group modulo torsion |
j |
12332902275190678500/2676161803 |
j-invariant |
L |
5.1193998897154 |
L(r)(E,1)/r! |
Ω |
0.64062233938849 |
Real period |
R |
1.3318819255521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110768b2 |
Quadratic twists by: -4 |