Atkin-Lehner |
2- 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746bk |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6131507011344 = 24 · 34 · 112 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5479,100409] |
[a1,a2,a3,a4,a6] |
Generators |
[110:857:1] |
Generators of the group modulo torsion |
j |
18189994489660657/6131507011344 |
j-invariant |
L |
9.2890004669441 |
L(r)(E,1)/r! |
Ω |
0.69506792065009 |
Real period |
R |
3.341040562718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
95238bo2 |
Quadratic twists by: -3 |