Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142y |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-180524920713984 = -1 · 28 · 36 · 7 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1039,646049] |
[a1,a2,a3,a4,a6] |
j |
170307838007/247633636096 |
j-invariant |
L |
7.1349847165511 |
L(r)(E,1)/r! |
Ω |
0.44593654550362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238d1 |
Quadratic twists by: -3 |