Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856j |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
14683622976 = 26 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-669,-3220] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3240:1] |
Generators of the group modulo torsion |
j |
709732288/314721 |
j-invariant |
L |
7.4430782673927 |
L(r)(E,1)/r! |
Ω |
0.97808025219956 |
Real period |
R |
3.8049425139685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53856bc1 107712ck2 17952m1 |
Quadratic twists by: -4 8 -3 |