Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312k |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-324731639326212096 = -1 · 215 · 3 · 115 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11+ -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4080,27415488] |
[a1,a2,a3,a4,a6] |
j |
1833318007919/79280185382376 |
j-invariant |
L |
0.48226266529612 |
L(r)(E,1)/r! |
Ω |
0.24113133264806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914o2 61248cj2 45936bt2 |
Quadratic twists by: -4 8 -3 |