Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638t |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-10446004296 = -1 · 23 · 315 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,121,-4921] |
[a1,a2,a3,a4,a6] |
Generators |
[81:688:1] |
Generators of the group modulo torsion |
j |
270840023/14329224 |
j-invariant |
L |
3.5793626035194 |
L(r)(E,1)/r! |
Ω |
0.61437641127669 |
Real period |
R |
0.48550076383974 |
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 |
13104by1 52416cq1 546d1 40950w1 |
Quadratic twists by: -4 8 -3 5 |