Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7084f |
Isogeny class |
Conductor |
7084 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
11751959296 = 28 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11+ 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8324,289508] |
[a1,a2,a3,a4,a6] |
j |
249190874485072/45906091 |
j-invariant |
L |
3.7007182232287 |
L(r)(E,1)/r! |
Ω |
1.2335727410762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28336x1 113344bz1 63756bd1 49588h1 |
Quadratic twists by: -4 8 -3 -7 |