Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11700w |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-14215500000000 = -1 · 28 · 37 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12000,-537500] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2250:1] |
Generators of the group modulo torsion |
j |
-524288/39 |
j-invariant |
L |
4.7120690445186 |
L(r)(E,1)/r! |
Ω |
0.22710213283723 |
Real period |
R |
0.86452825314939 |
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 |
46800fh1 3900n1 11700s1 |
Quadratic twists by: -4 -3 5 |