Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992c |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1545489010130577408 = 211 · 39 · 138 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-572979,-155855378] |
[a1,a2,a3,a4,a6] |
Generators |
[2963639062670:-19396158476436:3341362375] |
Generators of the group modulo torsion |
j |
13934209854153314/1035162284949 |
j-invariant |
L |
7.219317156272 |
L(r)(E,1)/r! |
Ω |
0.17434068366266 |
Real period |
R |
20.704625577373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87984e3 14664g4 |
Quadratic twists by: -4 -3 |