Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bp |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1051263968477184 = 219 · 312 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-839344,-295693376] |
[a1,a2,a3,a4,a6] |
Generators |
[2389:106434:1] |
Generators of the group modulo torsion |
j |
46546832455691959/748268928 |
j-invariant |
L |
2.9544025358743 |
L(r)(E,1)/r! |
Ω |
0.15773022865406 |
Real period |
R |
4.6826828330321 |
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 |
3234v2 103488iq2 77616gm2 25872cn2 |
Quadratic twists by: -4 8 -3 -7 |