Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bj |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
168310790258688 = 215 · 34 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11+ 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18881,785793] |
[a1,a2,a3,a4,a6] |
j |
193100552/43659 |
j-invariant |
L |
4.3185050143829 |
L(r)(E,1)/r! |
Ω |
0.53981315844684 |
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 |
103488em2 51744ct2 14784bh2 |
Quadratic twists by: -4 8 -7 |