Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354s |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
199920 |
Modular degree for the optimal curve |
Δ |
-61910869819392 = -1 · 214 · 33 · 116 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 11- 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9738,84723] |
[a1,a2,a3,a4,a6] |
j |
57646656647/34947072 |
j-invariant |
L |
5.3569931312331 |
L(r)(E,1)/r! |
Ω |
0.38264236660537 |
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 |
474a1 |
Quadratic twists by: -11 |