Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fm |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.7097008065585E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2369089,-1441050911] |
[a1,a2,a3,a4,a6] |
Generators |
[2657919:56270144:1331] |
Generators of the group modulo torsion |
j |
-16354376146655191/523792501128 |
j-invariant |
L |
4.46622112326 |
L(r)(E,1)/r! |
Ω |
0.060730387923036 |
Real period |
R |
9.1927231687344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999933746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304dm2 30576db2 122304ih2 |
Quadratic twists by: -4 8 -7 |