Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200r |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.73676395025E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-777908,-171604188] |
[a1,a2,a3,a4,a6] |
Generators |
[-724:3402:1] |
Generators of the group modulo torsion |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
3.153590290039 |
L(r)(E,1)/r! |
Ω |
0.16506851843854 |
Real period |
R |
1.592061244158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8400s2 33600cs2 12600s2 840d2 |
Quadratic twists by: -4 8 -3 5 |