Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bg |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3990533607424 = 212 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11956,-493920] |
[a1,a2,a3,a4,a6] |
Generators |
[826:23520:1] |
Generators of the group modulo torsion |
j |
392223168/8281 |
j-invariant |
L |
3.4783588142164 |
L(r)(E,1)/r! |
Ω |
0.45715211885148 |
Real period |
R |
3.8043778763997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40768bf2 20384w1 5824h2 |
Quadratic twists by: -4 8 -7 |