Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650i |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2138125549218750 = -1 · 2 · 34 · 58 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49625,4780875] |
[a1,a2,a3,a4,a6] |
Generators |
[119:701:1] |
Generators of the group modulo torsion |
j |
-865005601073041/136840035150 |
j-invariant |
L |
3.3436916185845 |
L(r)(E,1)/r! |
Ω |
0.44711369970221 |
Real period |
R |
0.62319935265002 |
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 |
109200fj2 40950ep2 2730bb2 95550dt2 |
Quadratic twists by: -4 -3 5 -7 |