Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080w |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
104428800 = 28 · 32 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4940,135300] |
[a1,a2,a3,a4,a6] |
Generators |
[40:10:1] |
Generators of the group modulo torsion |
j |
52089777754576/407925 |
j-invariant |
L |
4.6996300150288 |
L(r)(E,1)/r! |
Ω |
1.6916565890733 |
Real period |
R |
0.3472653703317 |
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 |
62160bc2 93240k2 |
Quadratic twists by: -4 -3 |