Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196k |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34344 |
Modular degree for the optimal curve |
Δ |
-71112496 = -1 · 24 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -4 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[20:92:1] |
Generators of the group modulo torsion |
j |
278528/15379 |
j-invariant |
L |
3.0063799018804 |
L(r)(E,1)/r! |
Ω |
0.93059700329445 |
Real period |
R |
3.2305927224326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105196d1 |
Quadratic twists by: 17 |