Atkin-Lehner |
2- 3- 37- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18426g |
Isogeny class |
Conductor |
18426 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
50496 |
Modular degree for the optimal curve |
Δ |
-4173349257216 = -1 · 224 · 34 · 37 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12224,528384] |
[a1,a2,a3,a4,a6] |
j |
-202006784792779777/4173349257216 |
j-invariant |
L |
4.6780047930219 |
L(r)(E,1)/r! |
Ω |
0.77966746550364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55278d1 |
Quadratic twists by: -3 |