Atkin-Lehner |
2- 3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bx |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53326919531250 = 2 · 37 · 58 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14297,-552729] |
[a1,a2,a3,a4,a6] |
Generators |
[1438:12327:8] |
Generators of the group modulo torsion |
j |
443304823666249/73150781250 |
j-invariant |
L |
11.93689921671 |
L(r)(E,1)/r! |
Ω |
0.44149599524106 |
Real period |
R |
3.3796736847226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710a2 |
Quadratic twists by: -3 |