Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16900q |
Isogeny class |
Conductor |
16900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7140250000 = 24 · 56 · 134 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4225,105625] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:325:1] [0:325:1] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
4.3989962974947 |
L(r)(E,1)/r! |
Ω |
1.3167105220799 |
Real period |
R |
0.092802737995946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600cj1 676d1 16900p1 |
Quadratic twists by: -4 5 13 |