Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3108c |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
261072 = 24 · 32 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,-426] |
[a1,a2,a3,a4,a6] |
j |
10061824000/16317 |
j-invariant |
L |
1.4633642452196 |
L(r)(E,1)/r! |
Ω |
1.4633642452196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432bq1 49728cc1 9324h1 77700r1 |
Quadratic twists by: -4 8 -3 5 |