Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424c |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
47525360027599872 = 210 · 39 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107811,8696754] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:4428:1] |
Generators of the group modulo torsion |
j |
2916 |
j-invariant |
L |
4.598216474219 |
L(r)(E,1)/r! |
Ω |
0.3291400970463 |
Real period |
R |
3.4925982244972 |
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 |
8712p1 69696du1 17424a1 17424d1 |
Quadratic twists by: -4 8 -3 -11 |