Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14168h |
Isogeny class |
Conductor |
14168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-13879199488 = -1 · 28 · 7 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3708,88340] |
[a1,a2,a3,a4,a6] |
Generators |
[29:66:1] |
Generators of the group modulo torsion |
j |
-22030281250000/54215623 |
j-invariant |
L |
7.0687088005389 |
L(r)(E,1)/r! |
Ω |
1.2575216810485 |
Real period |
R |
1.4052856716246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28336d1 113344bd1 127512bk1 99176j1 |
Quadratic twists by: -4 8 -3 -7 |