Atkin-Lehner |
3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717c |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
-354571864911 = -1 · 39 · 112 · 533 |
Discriminant |
Eigenvalues |
-1 3+ 1 -1 11- 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,538,28108] |
[a1,a2,a3,a4,a6] |
j |
7243533/148877 |
j-invariant |
L |
1.4313961484607 |
L(r)(E,1)/r! |
Ω |
0.7156980741094 |
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 |
57717e1 57717a1 |
Quadratic twists by: -3 -11 |