Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488v |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40057307136 = 217 · 34 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13057,-569855] |
[a1,a2,a3,a4,a6] |
j |
5476248398/891 |
j-invariant |
L |
3.5729764628219 |
L(r)(E,1)/r! |
Ω |
0.4466220616642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ip2 12936ba2 103488di2 |
Quadratic twists by: -4 8 -7 |