Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650l |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16769025000000 = 26 · 34 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6400,-8000] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:460:1] |
Generators of the group modulo torsion |
j |
1855878893569/1073217600 |
j-invariant |
L |
2.8126680309239 |
L(r)(E,1)/r! |
Ω |
0.58423453175777 |
Real period |
R |
1.2035697472647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200fo2 40950es2 2730y2 95550dz2 |
Quadratic twists by: -4 -3 5 -7 |