Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305f |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1958857104259932885 = -1 · 38 · 5 · 17 · 378 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-314685,95739646] |
[a1,a2,a3,a4,a6] |
Generators |
[-1776222:-13604123:2744] |
Generators of the group modulo torsion |
j |
-4727429774433470161/2687046782249565 |
j-invariant |
L |
6.6099623551663 |
L(r)(E,1)/r! |
Ω |
0.24363436204133 |
Real period |
R |
6.7826663486459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435e6 |
Quadratic twists by: -3 |