Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7728h |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1328906878385651712 = -1 · 222 · 312 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,74312,-54937232] |
[a1,a2,a3,a4,a6] |
j |
11079872671250375/324440155855872 |
j-invariant |
L |
0.52368442089646 |
L(r)(E,1)/r! |
Ω |
0.13092110522412 |
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 |
966f1 30912bv1 23184bn1 54096cq1 |
Quadratic twists by: -4 8 -3 -7 |