Atkin-Lehner |
2+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
14536d |
Isogeny class |
Conductor |
14536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
42793984 = 210 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 1 -6 -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-739,7726] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:124:1] [-1:92:1] |
Generators of the group modulo torsion |
j |
43587009252/41791 |
j-invariant |
L |
3.6706926893299 |
L(r)(E,1)/r! |
Ω |
2.0195233218635 |
Real period |
R |
0.45440087885961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29072d1 116288l1 |
Quadratic twists by: -4 8 |