Atkin-Lehner |
2- 3+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354n |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311904 |
Modular degree for the optimal curve |
Δ |
-977685047948664 = -1 · 23 · 319 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11+ 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15661,-1689445] |
[a1,a2,a3,a4,a6] |
j |
-319158090842219/734549247144 |
j-invariant |
L |
1.1965091877285 |
L(r)(E,1)/r! |
Ω |
0.19941819734556 |
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 |
57354b1 |
Quadratic twists by: -11 |