Atkin-Lehner |
2- 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746bk |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
22889670030942 = 2 · 3 · 118 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-569809,-165602245] |
[a1,a2,a3,a4,a6] |
Generators |
[5931790:450002047:1000] |
Generators of the group modulo torsion |
j |
20460284740161670459537/22889670030942 |
j-invariant |
L |
9.2890004669441 |
L(r)(E,1)/r! |
Ω |
0.17376698016252 |
Real period |
R |
13.364162250872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238bo6 |
Quadratic twists by: -3 |