Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728q |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1495646208 = -1 · 214 · 34 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,280,564] |
[a1,a2,a3,a4,a6] |
Generators |
[4:42:1] |
Generators of the group modulo torsion |
j |
590589719/365148 |
j-invariant |
L |
3.6810018056369 |
L(r)(E,1)/r! |
Ω |
0.93315388067976 |
Real period |
R |
0.49308611926838 |
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 |
966d1 30912bj1 23184bs1 54096br1 |
Quadratic twists by: -4 8 -3 -7 |