Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210o |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35680061736540000 = 25 · 37 · 54 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131609880,-581107211424] |
[a1,a2,a3,a4,a6] |
j |
71647584155243142409/10140000 |
j-invariant |
L |
0.35658856994833 |
L(r)(E,1)/r! |
Ω |
0.044573571243541 |
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 |
121680dy4 5070w4 76050ew4 1170n3 |
Quadratic twists by: -4 -3 5 13 |