Atkin-Lehner |
2+ 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550m |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-241357445567437500 = -1 · 22 · 32 · 56 · 712 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,87525,-21396375] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3555:1] |
Generators of the group modulo torsion |
j |
4745612697439823/15446876516316 |
j-invariant |
L |
3.2515236625916 |
L(r)(E,1)/r! |
Ω |
0.15965442110239 |
Real period |
R |
0.42429189142561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ec3 1302o4 |
Quadratic twists by: -3 5 |