Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1394h |
Isogeny class |
Conductor |
1394 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
264 |
Modular degree for the optimal curve |
Δ |
-1427456 = -1 · 211 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -1 -3 2 3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47,117] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-11497268593/1427456 |
j-invariant |
L |
3.0301503455671 |
L(r)(E,1)/r! |
Ω |
2.6164720405556 |
Real period |
R |
0.10528230723034 |
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 |
11152r1 44608m1 12546c1 34850a1 |
Quadratic twists by: -4 8 -3 5 |