Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8844b |
Isogeny class |
Conductor |
8844 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
804785580522240768 = 28 · 33 · 1110 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-592732,-170061848] |
[a1,a2,a3,a4,a6] |
Generators |
[64361127917400:35132286378490417:216000000] |
Generators of the group modulo torsion |
j |
89962103645741621968/3143693673915003 |
j-invariant |
L |
4.0172610231661 |
L(r)(E,1)/r! |
Ω |
0.17243138449547 |
Real period |
R |
23.297736864553 |
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 |
35376ba2 26532h2 97284g2 |
Quadratic twists by: -4 -3 -11 |