Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192j |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-13229082095547136 = -1 · 28 · 77 · 137 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 0 13- 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52463,3020781] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1911:1] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
5.2292578513575 |
L(r)(E,1)/r! |
Ω |
0.2575602770888 |
Real period |
R |
1.4502174876343 |
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 |
5096f1 40768cz1 91728bs1 1456c1 |
Quadratic twists by: -4 8 -3 -7 |