Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fh |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8.028247491619E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5180737,-14366266655] |
[a1,a2,a3,a4,a6] |
Generators |
[45006687:8255680720:1331] |
Generators of the group modulo torsion |
j |
-997241325462146/5206220835543 |
j-invariant |
L |
7.1843127918594 |
L(r)(E,1)/r! |
Ω |
0.04507460593545 |
Real period |
R |
9.96169670091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999164673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304di3 30576bd3 17472ct4 |
Quadratic twists by: -4 8 -7 |