Atkin-Lehner |
2- 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18012g |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
14352 |
Modular degree for the optimal curve |
Δ |
-38289261168 = -1 · 24 · 313 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,546,8217] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:69:1] [-3:81:1] |
Generators of the group modulo torsion |
j |
1123016154368/2393078823 |
j-invariant |
L |
7.088527560307 |
L(r)(E,1)/r! |
Ω |
0.79884630025724 |
Real period |
R |
0.22752451488154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048l1 54036g1 |
Quadratic twists by: -4 -3 |