Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bb |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1042920603648 = 215 · 310 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-61360] |
[a1,a2,a3,a4,a6] |
j |
193100552/43659 |
j-invariant |
L |
2.5288366313852 |
L(r)(E,1)/r! |
Ω |
0.63220915788993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ct2 22176r2 14784m2 |
Quadratic twists by: -4 8 -3 |