Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5100n |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-996093750000 = -1 · 24 · 3 · 513 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30758,2066613] |
[a1,a2,a3,a4,a6] |
j |
-12872772702976/3984375 |
j-invariant |
L |
3.4398408947174 |
L(r)(E,1)/r! |
Ω |
0.85996022367936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400cj1 81600bh1 15300q1 1020c1 |
Quadratic twists by: -4 8 -3 5 |