Atkin-Lehner |
2+ 3+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354b |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3430944 |
Modular degree for the optimal curve |
Δ |
-1.732028701229E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11+ -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1894983,2239176141] |
[a1,a2,a3,a4,a6] |
j |
-319158090842219/734549247144 |
j-invariant |
L |
0.2645170369382 |
L(r)(E,1)/r! |
Ω |
0.13225851892776 |
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 |
57354n1 |
Quadratic twists by: -11 |