Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856bc |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1028743524864 = -1 · 29 · 37 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2301,24010] |
[a1,a2,a3,a4,a6] |
Generators |
[-540:4045:64] |
Generators of the group modulo torsion |
j |
3609741304/2756193 |
j-invariant |
L |
7.5347653570589 |
L(r)(E,1)/r! |
Ω |
0.56121630386218 |
Real period |
R |
6.7128888676274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856j2 107712bo3 17952f4 |
Quadratic twists by: -4 8 -3 |