Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200y |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-865280000000000 = -1 · 219 · 510 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -1 13- 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4792,-1411088] |
[a1,a2,a3,a4,a6] |
Generators |
[116:832:1] |
Generators of the group modulo torsion |
j |
304175/21632 |
j-invariant |
L |
2.6925119206541 |
L(r)(E,1)/r! |
Ω |
0.23816564234009 |
Real period |
R |
1.4131508926933 |
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 |
650d1 20800cj1 46800ej1 5200be1 |
Quadratic twists by: -4 8 -3 5 |