Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700j |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1727183250000 = 24 · 312 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3000,-1375] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:243:1] |
Generators of the group modulo torsion |
j |
16384000/9477 |
j-invariant |
L |
4.1408693150369 |
L(r)(E,1)/r! |
Ω |
0.70657576241487 |
Real period |
R |
0.97674576818312 |
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 |
46800de1 3900c1 468d1 |
Quadratic twists by: -4 -3 5 |