Atkin-Lehner |
2+ 3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270l |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
911371871270538900 = 22 · 324 · 52 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6177195,5910653025] |
[a1,a2,a3,a4,a6] |
Generators |
[1425:-195:1] |
Generators of the group modulo torsion |
j |
35757747809673216703921/1250167175954100 |
j-invariant |
L |
4.2946683164626 |
L(r)(E,1)/r! |
Ω |
0.26167794168036 |
Real period |
R |
2.0515047641912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999164886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090u2 |
Quadratic twists by: -3 |