Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974m |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-4291477635072 = -1 · 228 · 3 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 2 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15368,-741312] |
[a1,a2,a3,a4,a6] |
Generators |
[144:120:1] |
Generators of the group modulo torsion |
j |
-75323729256625/805306368 |
j-invariant |
L |
10.410717856548 |
L(r)(E,1)/r! |
Ω |
0.21425864334812 |
Real period |
R |
1.7353388699259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95922b2 31974l2 |
Quadratic twists by: -3 73 |