Atkin-Lehner |
2+ 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302g |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
317460126096 = 24 · 38 · 372 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1746,-6908] |
[a1,a2,a3,a4,a6] |
Generators |
[71:437:1] |
Generators of the group modulo torsion |
j |
807734827297/435473424 |
j-invariant |
L |
4.4962184466238 |
L(r)(E,1)/r! |
Ω |
0.78653850718814 |
Real period |
R |
2.8582316094717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10434g2 |
Quadratic twists by: -3 |