Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222x |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
10740210992520768 = 26 · 37 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-509850,140162548] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:12293:1] |
Generators of the group modulo torsion |
j |
832972004929/610368 |
j-invariant |
L |
6.9865770381722 |
L(r)(E,1)/r! |
Ω |
0.40169309505928 |
Real period |
R |
2.1741029171858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074r1 3366g1 |
Quadratic twists by: -3 17 |