Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450a |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-847857526875000 = -1 · 23 · 39 · 57 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13458,-1268884] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3598:1] |
Generators of the group modulo torsion |
j |
876467493/2756840 |
j-invariant |
L |
4.2522652524147 |
L(r)(E,1)/r! |
Ω |
0.25602281162337 |
Real period |
R |
2.0761163944007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18450bd1 3690o2 |
Quadratic twists by: -3 5 |