Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856f |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
922245232896 = 28 · 310 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20012,1095360] |
[a1,a2,a3,a4,a6] |
Generators |
[3243:17290:27] |
Generators of the group modulo torsion |
j |
3462397543530448/3602520441 |
j-invariant |
L |
4.7131385943979 |
L(r)(E,1)/r! |
Ω |
0.88006752122239 |
Real period |
R |
5.3554283969615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5928h2 47424cz2 35568s2 |
Quadratic twists by: -4 8 -3 |