Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bi |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-43842132552768704 = -1 · 26 · 74 · 1111 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-976631,-371298431] |
[a1,a2,a3,a4,a6] |
Generators |
[29754:1742279:8] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
3.5178191686406 |
L(r)(E,1)/r! |
Ω |
0.075932169599592 |
Real period |
R |
2.8955276689743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208j1 27104g1 4928c1 |
Quadratic twists by: -4 8 -11 |