Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840ci |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.4024740782735E+24 |
Discriminant |
Eigenvalues |
2- -1 5- -1 11- 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180604640,-943269781760] |
[a1,a2,a3,a4,a6] |
Generators |
[191376:83507840:1] [1087376:1133799040:1] |
Generators of the group modulo torsion |
j |
-89783052551043953401/1020142489034240 |
j-invariant |
L |
10.408498989264 |
L(r)(E,1)/r! |
Ω |
0.020577535727919 |
Real period |
R |
15.806829237984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730x3 11440u3 |
Quadratic twists by: -4 -11 |