Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4095g |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
2321865 = 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-600,-5509] |
[a1,a2,a3,a4,a6] |
Generators |
[50:271:1] |
Generators of the group modulo torsion |
j |
32798729601/3185 |
j-invariant |
L |
4.0099051171135 |
L(r)(E,1)/r! |
Ω |
0.9645624447954 |
Real period |
R |
4.1572270813053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520dc1 455b1 20475y1 28665bo1 |
Quadratic twists by: -4 -3 5 -7 |