Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dk |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40324547902205952 = 212 · 38 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8748824,-9963217068] |
[a1,a2,a3,a4,a6] |
Generators |
[-26684900:1043442:15625] |
Generators of the group modulo torsion |
j |
10206027697760497/5557167 |
j-invariant |
L |
5.718127223688 |
L(r)(E,1)/r! |
Ω |
0.087783348851907 |
Real period |
R |
8.1423859115541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2541b5 121968fv6 3696w5 |
Quadratic twists by: -4 -3 -11 |