Atkin-Lehner |
3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743bc |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2834944 |
Modular degree for the optimal curve |
Δ |
1844983080560070297 = 314 · 79 · 112 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2751082,-1755331609] |
[a1,a2,a3,a4,a6] |
j |
57062623018554271/45720400671 |
j-invariant |
L |
1.6412411303289 |
L(r)(E,1)/r! |
Ω |
0.11723156928701 |
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 |
127743h1 |
Quadratic twists by: -7 |