Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14300d |
Isogeny class |
Conductor |
14300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-346060000000 = -1 · 28 · 57 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3800,94500] |
[a1,a2,a3,a4,a6] |
Generators |
[80:550:1] |
Generators of the group modulo torsion |
j |
-1517101056/86515 |
j-invariant |
L |
4.6344139736125 |
L(r)(E,1)/r! |
Ω |
0.94653951953823 |
Real period |
R |
0.27200918468156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200x1 128700e1 2860c1 |
Quadratic twists by: -4 -3 5 |