Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488r |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8396456656896 = 216 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6337,-133055] |
[a1,a2,a3,a4,a6] |
j |
3650692/1089 |
j-invariant |
L |
2.1896134423288 |
L(r)(E,1)/r! |
Ω |
0.54740336673181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488in2 12936j2 2112m2 |
Quadratic twists by: -4 8 -7 |