Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56088h |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
71527007232 = 210 · 37 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,7918] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:144:1] |
Generators of the group modulo torsion |
j |
228266500/95817 |
j-invariant |
L |
5.3107908461132 |
L(r)(E,1)/r! |
Ω |
0.98922936238186 |
Real period |
R |
1.342153561187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112176k1 18696c1 |
Quadratic twists by: -4 -3 |