Atkin-Lehner |
2+ 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354k |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
33400686451968 = 28 · 37 · 112 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -7 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21805,-1209496] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:1759:8] [-77:158:1] |
Generators of the group modulo torsion |
j |
9474973054156753/276038731008 |
j-invariant |
L |
8.7210194646331 |
L(r)(E,1)/r! |
Ω |
0.39358312446882 |
Real period |
R |
0.52757170640108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57354v1 |
Quadratic twists by: -11 |