Atkin-Lehner |
2+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28016c |
Isogeny class |
Conductor |
28016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-30481408 = -1 · 210 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,266] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [1:16:1] |
Generators of the group modulo torsion |
j |
-143748/29767 |
j-invariant |
L |
7.2456673902613 |
L(r)(E,1)/r! |
Ω |
1.704334368351 |
Real period |
R |
2.1256590035418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14008a1 112064m1 |
Quadratic twists by: -4 8 |