Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bg |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-5439779057664 = -1 · 212 · 313 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6096,214832] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
2.9167025219368 |
L(r)(E,1)/r! |
Ω |
0.7291756304842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1071d1 68544ec1 5712l1 119952fq1 |
Quadratic twists by: -4 8 -3 -7 |