Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bl |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824000 |
Modular degree for the optimal curve |
Δ |
-8.895239766913E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7599367,16461716541] |
[a1,a2,a3,a4,a6] |
Generators |
[2270:103289:1] |
Generators of the group modulo torsion |
j |
-14027163209613/25708190464 |
j-invariant |
L |
2.6398597183371 |
L(r)(E,1)/r! |
Ω |
0.095926699579788 |
Real period |
R |
6.8798876453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000021654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950dg1 10450bc1 |
Quadratic twists by: 5 -11 |