Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bg |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2099508797686874112 = 216 · 38 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56656168,164160565360] |
[a1,a2,a3,a4,a6] |
Generators |
[-4230:572810:1] |
Generators of the group modulo torsion |
j |
121681065322255375/12702096 |
j-invariant |
L |
4.446673760234 |
L(r)(E,1)/r! |
Ω |
0.20128562340811 |
Real period |
R |
5.5228407336603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3234m2 103488if2 77616fx2 25872ck2 |
Quadratic twists by: -4 8 -3 -7 |