Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730y |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-18712113062500 = -1 · 22 · 56 · 116 · 132 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1515,-209483] |
[a1,a2,a3,a4,a6] |
j |
-217081801/10562500 |
j-invariant |
L |
3.6182030606186 |
L(r)(E,1)/r! |
Ω |
0.30151692171821 |
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 |
125840ck2 78650u2 130a2 |
Quadratic twists by: -4 5 -11 |