Atkin-Lehner |
3+ 13+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28509b |
Isogeny class |
Conductor |
28509 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1116112724883 = 312 · 132 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3+ 0 4 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39015,2949534] |
[a1,a2,a3,a4,a6] |
j |
6568042263673893625/1116112724883 |
j-invariant |
L |
1.6854975902204 |
L(r)(E,1)/r! |
Ω |
0.84274879511019 |
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 |
85527e2 |
Quadratic twists by: -3 |