Atkin-Lehner |
3- 7+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31857c |
Isogeny class |
Conductor |
31857 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-14006832321762063 = -1 · 312 · 73 · 374 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,54211,2974488] |
[a1,a2,a3,a4,a6] |
Generators |
[31:2149:1] |
Generators of the group modulo torsion |
j |
17619170857829022383/14006832321762063 |
j-invariant |
L |
3.3407794174739 |
L(r)(E,1)/r! |
Ω |
0.25513309037087 |
Real period |
R |
1.0911884631853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95571f3 |
Quadratic twists by: -3 |