Atkin-Lehner |
2+ 3+ 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318a |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-32720912928 = -1 · 25 · 34 · 112 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-495,9477] |
[a1,a2,a3,a4,a6] |
Generators |
[9:72:1] |
Generators of the group modulo torsion |
j |
-13455798261625/32720912928 |
j-invariant |
L |
3.8046521304991 |
L(r)(E,1)/r! |
Ω |
1.0335761649723 |
Real period |
R |
0.9202640936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954bd2 |
Quadratic twists by: -3 |