Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968bt |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1136763068281982064 = -1 · 24 · 327 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93489,50103317] |
[a1,a2,a3,a4,a6] |
Generators |
[3285964:99701503:4913] |
Generators of the group modulo torsion |
j |
5820759945472/73222472421 |
j-invariant |
L |
9.2311834067456 |
L(r)(E,1)/r! |
Ω |
0.2030938813952 |
Real period |
R |
11.363197369721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60984p1 40656p1 121968bb1 |
Quadratic twists by: -4 -3 -11 |