Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18012h |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-204209392896 = -1 · 28 · 312 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1468,-1596] |
[a1,a2,a3,a4,a6] |
Generators |
[4:66:1] |
Generators of the group modulo torsion |
j |
1365733741232/797692941 |
j-invariant |
L |
4.148611121866 |
L(r)(E,1)/r! |
Ω |
0.59112747927177 |
Real period |
R |
1.7545331875693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72048i1 54036m1 |
Quadratic twists by: -4 -3 |