Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1218i |
Isogeny class |
Conductor |
1218 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
-59682 = -1 · 2 · 3 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -5 3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42,102] |
[a1,a2,a3,a4,a6] |
j |
-8205738913/59682 |
j-invariant |
L |
3.5309820891508 |
L(r)(E,1)/r! |
Ω |
3.5309820891508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9744m1 38976f1 3654h1 30450m1 |
Quadratic twists by: -4 8 -3 5 |