Atkin-Lehner |
2- 7- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432l |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55552 |
Modular degree for the optimal curve |
Δ |
-10926125056 = -1 · 212 · 74 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,109,5010] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:70:1] |
Generators of the group modulo torsion |
j |
34965783/2667511 |
j-invariant |
L |
4.48573756806 |
L(r)(E,1)/r! |
Ω |
0.97763292913517 |
Real period |
R |
1.1470914661374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7777b1 |
Quadratic twists by: -4 |