Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938i |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3.7298521600902E+27 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1843671316,30611260858770] |
[a1,a2,a3,a4,a6] |
Generators |
[11765908:947890714:343] |
Generators of the group modulo torsion |
j |
-56082417564948625/301817304448 |
j-invariant |
L |
2.7461569986709 |
L(r)(E,1)/r! |
Ω |
0.044488991531448 |
Real period |
R |
10.287777209964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358h2 69938d2 |
Quadratic twists by: -11 17 |