Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200bg |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-2080000 = -1 · 28 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 3 -3 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,50] |
[a1,a2,a3,a4,a6] |
j |
10800/13 |
j-invariant |
L |
1.7475243018448 |
L(r)(E,1)/r! |
Ω |
1.7475243018448 |
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 |
1300f1 20800dm1 46800fk1 5200o1 |
Quadratic twists by: -4 8 -3 5 |