Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
55776f |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
780864 = 26 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-334,2464] |
[a1,a2,a3,a4,a6] |
j |
64577729728/12201 |
j-invariant |
L |
2.7510529308378 |
L(r)(E,1)/r! |
Ω |
2.7510529280223 |
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 |
55776h1 111552ds2 |
Quadratic twists by: -4 8 |