Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176o |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1292322053689344 = -1 · 212 · 310 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21741,1212050] |
[a1,a2,a3,a4,a6] |
Generators |
[2975:162470:1] |
Generators of the group modulo torsion |
j |
380605258223/432796041 |
j-invariant |
L |
9.4410131729782 |
L(r)(E,1)/r! |
Ω |
0.32192166012549 |
Real period |
R |
7.3317628986213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7011d4 37392i3 |
Quadratic twists by: -4 -3 |