Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042v |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.4067707264879E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3955354,-6461653484] |
[a1,a2,a3,a4,a6] |
Generators |
[41109964765516:-214986340081631:16079333824] |
Generators of the group modulo torsion |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
2.3512732299993 |
L(r)(E,1)/r! |
Ω |
0.050243080084285 |
Real period |
R |
23.398975799801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ex2 858d2 |
Quadratic twists by: -3 -7 |