Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230bb |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
45598959720864000 = 28 · 33 · 53 · 116 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2087581,-1161077455] |
[a1,a2,a3,a4,a6] |
j |
1006129149693109711084369/45598959720864000 |
j-invariant |
L |
4.5216027206784 |
L(r)(E,1)/r! |
Ω |
0.1256000755744 |
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 |
81840bs3 30690t3 51150c3 112530ba3 |
Quadratic twists by: -4 -3 5 -11 |