Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200bb |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-270400000000 = -1 · 212 · 58 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1592,-4812] |
[a1,a2,a3,a4,a6] |
Generators |
[28:250:1] |
Generators of the group modulo torsion |
j |
6967871/4225 |
j-invariant |
L |
2.1321853189581 |
L(r)(E,1)/r! |
Ω |
0.56852664378889 |
Real period |
R |
0.93759252193895 |
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 |
325c2 20800cn2 46800ek2 1040c2 |
Quadratic twists by: -4 8 -3 5 |