Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
14300j |
Isogeny class |
Conductor |
14300 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
7188232480000 = 28 · 54 · 112 · 135 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10933,424337] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:910:1] [-8:715:1] |
Generators of the group modulo torsion |
j |
903361331200/44926453 |
j-invariant |
L |
5.5068210938365 |
L(r)(E,1)/r! |
Ω |
0.73572364875503 |
Real period |
R |
0.083165603207369 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200ck1 128700ch1 14300b1 |
Quadratic twists by: -4 -3 5 |