Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230p |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10080383385600 = 214 · 38 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2708729,-1716142948] |
[a1,a2,a3,a4,a6] |
j |
2197961868637780271747209/10080383385600 |
j-invariant |
L |
1.8829039534804 |
L(r)(E,1)/r! |
Ω |
0.11768149709252 |
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 |
81840bp2 30690bo2 51150bs2 112530cx2 |
Quadratic twists by: -4 -3 5 -11 |