Atkin-Lehner |
3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989j |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51609600 |
Modular degree for the optimal curve |
Δ |
3.6106510274479E+26 |
Discriminant |
Eigenvalues |
0 3- 1 -4 11- 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3024622722,-64019260164357] |
[a1,a2,a3,a4,a6] |
j |
2369483583201884848881664/279577280592078381 |
j-invariant |
L |
0.0814320791841 |
L(r)(E,1)/r! |
Ω |
0.020357986726767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663f1 9999j1 |
Quadratic twists by: -3 -11 |