Atkin-Lehner |
2- 3+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18012a |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-21902592 = -1 · 28 · 3 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -3 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-332,-2232] |
[a1,a2,a3,a4,a6] |
Generators |
[378:2337:8] |
Generators of the group modulo torsion |
j |
-15856431568/85557 |
j-invariant |
L |
4.4321121134026 |
L(r)(E,1)/r! |
Ω |
0.55890238229228 |
Real period |
R |
3.9650145122165 |
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 |
72048x1 54036h1 |
Quadratic twists by: -4 -3 |