Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787o |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
337018988603913 = 3 · 78 · 117 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-201710,34840859] |
[a1,a2,a3,a4,a6] |
j |
4354703137/1617 |
j-invariant |
L |
4.7777741550426 |
L(r)(E,1)/r! |
Ω |
0.53086379500474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53361bp1 2541b1 1617g1 |
Quadratic twists by: -3 -7 -11 |