Atkin-Lehner |
3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739h |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
35217 = 32 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 7- -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81,271] |
[a1,a2,a3,a4,a6] |
Generators |
[183:83:27] |
Generators of the group modulo torsion |
j |
57736239625/35217 |
j-invariant |
L |
6.6307338730783 |
L(r)(E,1)/r! |
Ω |
3.6297802285862 |
Real period |
R |
3.6535180950396 |
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 |
35217g1 82173c1 |
Quadratic twists by: -3 -7 |