Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dc |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
8131287437070336 = 212 · 33 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63888,4450864] |
[a1,a2,a3,a4,a6] |
j |
1216512/343 |
j-invariant |
L |
2.3170842756382 |
L(r)(E,1)/r! |
Ω |
0.38618073331691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623a1 121968db1 121968cq1 |
Quadratic twists by: -4 -3 -11 |