Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200a |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
32500000000 = 28 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-2963] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
3.1306661440448 |
L(r)(E,1)/r! |
Ω |
0.93772008197649 |
Real period |
R |
3.3385934717811 |
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 |
2600h1 20800da1 46800n1 5200k1 |
Quadratic twists by: -4 8 -3 5 |