Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010da |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8.7619089698745E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28421,-14241560229] |
[a1,a2,a3,a4,a6] |
Generators |
[101302123880:-5567356921009:25934336] |
Generators of the group modulo torsion |
j |
-21580151584321/744749974064758410 |
j-invariant |
L |
11.407085122735 |
L(r)(E,1)/r! |
Ω |
0.049304898863013 |
Real period |
R |
19.279837295285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999956036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430w4 |
Quadratic twists by: -7 |