Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dk |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
421665334236647424 = 212 · 34 · 72 · 1110 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-549864,-153981324] |
[a1,a2,a3,a4,a6] |
Generators |
[-396:1350:1] |
Generators of the group modulo torsion |
j |
2533811507137/58110129 |
j-invariant |
L |
5.718127223688 |
L(r)(E,1)/r! |
Ω |
0.17556669770381 |
Real period |
R |
4.0711929557771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2541b3 121968fv4 3696w3 |
Quadratic twists by: -4 -3 -11 |