Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3906u |
Isogeny class |
Conductor |
3906 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
90412994448 = 24 · 312 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1670,-21499] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:73:1] |
Generators of the group modulo torsion |
j |
706157817625/124023312 |
j-invariant |
L |
5.1668839822043 |
L(r)(E,1)/r! |
Ω |
0.75584504564376 |
Real period |
R |
0.56965864586302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248bi1 124992db1 1302h1 97650bh1 |
Quadratic twists by: -4 8 -3 5 |