Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5922h |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
473446134 = 2 · 37 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14103,648175] |
[a1,a2,a3,a4,a6] |
Generators |
[57:136:1] |
Generators of the group modulo torsion |
j |
425547480243313/649446 |
j-invariant |
L |
2.5253310546252 |
L(r)(E,1)/r! |
Ω |
1.4154600019844 |
Real period |
R |
0.44602656576039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bi2 1974g2 41454bc2 |
Quadratic twists by: -4 -3 -7 |