Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104k |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2805896483377197056 = -1 · 212 · 74 · 1111 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3906525,2974293973] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:58564:1] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
4.1079881218442 |
L(r)(E,1)/r! |
Ω |
0.25072361418099 |
Real period |
R |
1.0240330112261 |
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 |
27104g1 54208j1 2464e1 |
Quadratic twists by: -4 8 -11 |