Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1638s |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1960 |
Modular degree for the optimal curve |
Δ |
-242522646912 = -1 · 27 · 36 · 7 · 135 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200,-23669] |
[a1,a2,a3,a4,a6] |
j |
-1207949625/332678528 |
j-invariant |
L |
3.093420062371 |
L(r)(E,1)/r! |
Ω |
0.44191715176729 |
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 |
13104bp1 52416cu1 182e1 40950bh1 |
Quadratic twists by: -4 8 -3 5 |