Atkin-Lehner |
2- 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354w |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-2497071749382144 = -1 · 214 · 32 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54997,-5520415] |
[a1,a2,a3,a4,a6] |
j |
-10384488145513/1409531904 |
j-invariant |
L |
4.331872585106 |
L(r)(E,1)/r! |
Ω |
0.15470973516968 |
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 |
5214a1 |
Quadratic twists by: -11 |