Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104g |
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 |
[57001:13600748:1] |
Generators of the group modulo torsion |
j |
-908614343190016/386683451 |
j-invariant |
L |
7.2776485109176 |
L(r)(E,1)/r! |
Ω |
0.053692152034078 |
Real period |
R |
8.4714993663069 |
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 |
27104k1 54208bi1 2464j1 |
Quadratic twists by: -4 8 -11 |