Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450r |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-5.1052632842148E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9265008,592188416] |
[a1,a2,a3,a4,a6] |
Generators |
[29091019280:2319929314832:12649337] |
Generators of the group modulo torsion |
j |
441045/256 |
j-invariant |
L |
4.409219413589 |
L(r)(E,1)/r! |
Ω |
0.067682917950324 |
Real period |
R |
16.286308078595 |
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 |
54450ek1 54450dz1 54450el1 |
Quadratic twists by: -3 5 -11 |