Atkin-Lehner |
2- 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354u |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
1435200 |
Modular degree for the optimal curve |
Δ |
-777526254495901152 = -1 · 25 · 326 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1527677,-728131887] |
[a1,a2,a3,a4,a6] |
j |
-3258614457341371029913/6425836814015712 |
j-invariant |
L |
8.8257923295394 |
L(r)(E,1)/r! |
Ω |
0.067890710228193 |
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 |
57354j1 |
Quadratic twists by: -11 |